MultiVerse Converter: Ver 2 By: Bernard Aybout
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Expenses Pie Chart
Income vs Expenses Pie Chart
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MultiVerse Converter: Ver 2 By: Bernard Aybout
Converting...
APR vs. EAR
Annual Percentage Rate (APR): APR is the annual rate charged for borrowing or earned through an investment. It includes any fees or additional costs associated with the transaction.
Effective Annual Rate (EAR): EAR is the actual return on an investment or the actual cost of borrowing when compounding is taken into account. It reflects the true interest rate for a full year.
Amortization Schedule
Conversion History
MultiVerse Converter – Calculator
The MultiVerse Converter – Calculator is a versatile and user-friendly online tool designed to simplify conversions and calculations across a wide array of units and financial scenarios. This powerful tool is ideal for students, professionals, and everyday users who need quick and accurate conversions between different measurement systems, as well as a robust set of financial calculations and standard mathematical functions.
Key Features:
Unit Conversions:
- Length Conversions:
- Kilometers, Meters, Centimeters, Millimeters, Inches, Feet, Miles
- Weight Conversions:
- Kilograms, Grams, Pounds, Ounces
- Temperature Conversions:
- Celsius, Fahrenheit, Kelvin
- Volume Conversions:
- Liters, Milliliters, Cubic meters, Cubic centimeters, Gallons, Quarts, Pints, Cups
- Area Conversions:
- Square kilometers, Square meters, Square centimeters, Square millimeters, Hectares, Acres, Square miles, Square feet, Square inches
- Time Conversions:
- Seconds, Minutes, Hours, Days, Weeks, Months, Years
Standard Mathematical Operations:
- Basic Arithmetic: Addition (+), Subtraction (-), Multiplication (*), Division (/)
- Percentage (%): Calculate percentages
- Parentheses: Group operations using parentheses
Scientific Functions:
- Trigonometric Functions: Sine (sin), Cosine (cos), Tangent (tan), Arc Sine (asin), Arc Cosine (acos), Arc Tangent (atan)
- Logarithmic Functions: Natural logarithm (log)
- Square Root (√): Calculate the square root of a number
- Exponentiation (x^y): Raise a number to the power of another number
- Absolute Value (abs): Compute the absolute value
- Factorial (!): Calculate the factorial of a number
Financial Calculations:
- Loan Calculation:
- Inputs: Principal Amount, Annual Interest Rate (%), Loan Term (Years)
- Output: Monthly loan payment
- Amortization Schedule:
- Inputs: Principal Amount, Annual Interest Rate (%), Loan Term (Years)
- Output: Detailed amortization schedule including monthly payments, interest, principal, and remaining balance
- Simple Interest Calculation:
- Inputs: Principal Amount, Annual Interest Rate (%), Time Period (Years)
- Output: Simple interest earned or owed
- Compound Interest Calculation:
- Inputs: Principal Amount, Annual Interest Rate (%), Times Compounded per Year, Time Period (Years)
- Output: Compound interest earned or owed
- Retirement Savings Calculation:
- Inputs: Current Savings, Annual Contribution, Annual Interest Rate (%), Years until Retirement
- Output: Estimated retirement savings
- Mortgage Calculation:
- Inputs: Home Price, Down Payment, Annual Interest Rate (%), Loan Term (Years)
- Output: Monthly mortgage payment
- Budget Calculation:
- Inputs: Total Income, Housing, Utilities, Food, Transportation, Entertainment, Insurance, Medical, Education, Other Expenses
- Output: Total expenses, savings, and detailed breakdown of each category
- Automatic Budget Generation: Based on marital status and number of dependents, automatically generates a budget
User Interaction and History:
- History Tracking: Keeps track of all calculations performed. Users can add notes to each entry.
- Export History: Allows users to export the history of calculations to a text file for record-keeping or further analysis.
- Reset History: Option to clear the history.
User Interface:
- Display: Shows the current input and results.
- Buttons: Clear (C), Delete (DEL), numerical digits (0-9), decimal point (.), and various function buttons.
- Modals: Each financial calculation opens a modal for user input and displays the results.
- Feedback: Provides visual feedback on successful budget calculations.
- Responsive Design: The layout adjusts to fit different screen sizes and devices.
How to Use the MultiVerse Converter – Calculator:
- Enter the Value: Simply input the value you wish to convert in the designated input field.
- Select the Current Unit: Choose the current unit from the dropdown menu next to the input field.
- Select the Target Unit: Choose the unit you want to convert to from the second dropdown menu.
- Convert: Click the “Convert” button. The result will be displayed instantly, providing you with a precise conversion based on up-to-date conversion rates and formulas.
- See the Work: The converter not only gives you the final result but also shows the conversion process and the units used, providing transparency and understanding of how the conversion was achieved.
- Reset: Use the “Reset” button to clear the input fields and start a new conversion.
Performing Financial Calculations:
- Access Financial Calculators: Click the appropriate button (e.g., Loan, Amort, Interest, Budget).
- Fill in the Required Fields: Enter the necessary information in the modal that appears.
- Calculate: Click the “Calculate” button to see the results. The results will be displayed in the modal and added to the history.
Managing History:
- View Past Calculations: View past calculations in the history section.
- Add Notes: Add notes to specific entries for future reference.
- Export History: Export the history to a text file by clicking the “Export History” button.
- Clear History: Clear the history by clicking the “Reset History” button.
Conclusion:
The MultiVerse Converter – Calculator is a comprehensive tool designed to meet both general and specific conversion and financial calculation needs. Its intuitive interface and robust feature set make it a valuable resource for personal and professional use. Whether you need to convert units, calculate a simple sum, or plan your financial future, this calculator provides the functionality and ease of use to handle a wide range of tasks efficiently
Here are the conversions and corresponding formulas for manual calculations: MultiVerse Converter – Calculator
Length Conversions
- Kilometers (km) to Meters (m): 1 km = 1000 m
- Meters (m) to Centimeters (cm): 1 m = 100 cm
- Centimeters (cm) to Millimeters (mm): 1 cm = 10 mm
- Inches to Centimeters (cm): 1 inch = 2.54 cm
- Feet to Meters (m): 1 foot = 0.3048 m
- Miles to Kilometers (km): 1 mile = 1.60934 km
Volume Conversions
- Liters (l) to Milliliters (ml): 1 l = 1000 ml
- Gallons to Liters (l): 1 gallon = 3.78541 l
- Quarts to Liters (l): 1 quart = 0.946353 l
- Pints to Liters (l): 1 pint = 0.473176 l
- Cups to Liters (l): 1 cup = 0.24 l
- Ounces to Liters (l): 1 ounce = 0.0295735 l
Weight Conversions
- Kilograms (kg) to Grams (g): 1 kg = 1000 g
- Grams (g) to Milligrams (mg): 1 g = 1000 mg
- Pounds (lbs) to Kilograms (kg): 1 lb = 0.453592 kg
- Ounces to Grams (g): 1 oz = 28.3495 g
Temperature Conversions
- Celsius to Fahrenheit: F = (C × 9/5) + 32
- Fahrenheit to Celsius: C = (F – 32) × 5/9
- Celsius to Kelvin: K = C + 273.15
- Kelvin to Celsius: C = K – 273.15
- Fahrenheit to Kelvin: K = (F + 459.67) × 5/9
- Kelvin to Fahrenheit: F = (K × 9/5) – 459.67
These formulas allow you to manually convert between various units of length, volume, weight, and temperature.
List of conversion factors – MultiVerse Converter – Calculator – MultiVerse Converter – Calculator
This article gives a list of conversion factors for several physical quantities. A number of different units (some only of historical interest) are shown and expressed in terms of the corresponding SI unit. Conversions between units in the metric system are defined by their prefixes (for example, 1 kilogram = 1000 grams, 1 milligram = 0.001 grams) and are thus not listed in this article. Exceptions are made if the unit is commonly known by another name (for example, 1 micron = 10−6 metre). Within each table, the units are listed alphabetically, and the SI units (base or derived) are highlighted.
The following quantities are considered: length, area, volume, plane angle, solid angle, mass, density, time, frequency, velocity, volumetric flow rate, acceleration, force, pressure (or mechanical stress), torque (or moment of force), energy, power (or heat flow rate), action, dynamic viscosity, kinematic viscosity, electric current, electric charge, electric dipole, electromotive force (or electric potential difference), electrical resistance, capacitance, magnetic flux, magnetic flux density, inductance, temperature, information entropy, luminous intensity, luminance, luminous flux, illuminance, radiation.
| Symbol | Definition |
|---|---|
| ≡ | exactly equal |
| ≈ | approximately equal to |
| ≘ | (exactly) corresponds to (different types of quantity describing the same phenomenon) |
| digits | indicates that digits repeat infinitely (e.g. 8.294369 corresponds to 8.294369369369369…) |
| (H) | of chiefly historical interest |
Length – MultiVerse Converter – Calculator
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| ångström | Å | ≡ 1×10−10 m | ≡ 0.1 nm |
| astronomical unit | au | ≡ 149597870700 m ≈ Distance from Earth to Sun |
≡ 149597870700 m [1] |
| attometre | am | ≡ 1×10−18 m | ≡ 1×10−18 m |
| barleycorn (H) | = 1⁄3 in (see note above about rounding) | = 8.46×10−3 m | |
| bohr, atomic unit of length | a0 | = Bohr radius of hydrogen | ≈ 5.2917721092(17)×10−11 m[2] |
| cable length (imperial) | ≡ 608 ft | ≈ 185.3184 m | |
| cable length (International) | ≡ 1⁄10 nmi | ≡ 185.2 m | |
| cable length (US) | ≡ 720 ft | = 219.456 m | |
| chain (Gunter’s; Surveyor’s) | ch | ≡ 66 ft (US) ≡ 4 rods[3] | ≈ 20.11684 m |
| cubit (H) | ≡ Distance from fingers to elbow ≈ 18 in | ≈ 0.5 m | |
| ell (H) | ell | ≡ 45 in [4] (In England usually) | = 1.143 m |
| fathom | ftm | ≡ 6 ft [4] | = 1.8288 m |
| femtometre | fm | ≡ 1×10−15 m | ≡ 1×10−15 m |
| fermi | fm | ≡ 1×10−15 m[4] | ≡ 1×10−15 m |
| finger | ≡ 7⁄8 in | = 0.022225 m | |
| finger (cloth) | ≡ 4+1⁄2 in | = 0.1143 m | |
| foot (Benoît) (H) | ft (Ben) | ≈ 0.304799735 m | |
| foot (Cape) (H) | Legally defined as 1.033 English feet in 1859 | ≈ 0.314858 m | |
| foot (Clarke’s) (H) | ft (Cla) | ≈ 0.3047972654 m | |
| foot (Indian) (H) | ft Ind | ≈ 0.304799514 m | |
| foot, metric | mf | ≡ 300 mm | ≡ 0.3 m |
| foot, metric (Mesures usuelles) (H) | ≡ 1⁄3 m | ≡ 0.3 m | |
| foot (International) | ft | ≡ 0.3048 m ≡ 1⁄3 yd ≡ 12 inches | ≡ 0.3048 m |
| foot (Sear’s) (H) | ft (Sear) | ≈ 0.30479947 m | |
| foot (US Survey) | ft (US) | ≡ 1200⁄3937 m [5] | ≈ 0.304800610 m |
| french; charriere | F | ≡ 1⁄3 mm | = 0.3×10−3 m |
| furlong | fur | ≡ 10 chains = 660 ft = 220 yd [4] | = 201.168 m |
| hand | ≡ 4 in [4] | ≡ 0.1016 m | |
| inch (International) | in | ≡ 2.54 cm ≡ 1⁄36 yd ≡ 1⁄12 ft | ≡ 0.0254 m |
| league (land) | lea | ≈ 1 hour walk, Currently defined in US as 3 Statute miles,[3] but historically varied from 2 to 9 km | ≈ 4828 m |
| light-day | ≡ 24 light-hours | ≡ 2.59020683712×1013 m | |
| light-hour | ≡ 60 light-minutes | ≡ 1.0792528488×1012 m | |
| light-minute | ≡ 60 light-seconds | ≡ 1.798754748×1010 m | |
| light-second | ≡ Distance light travels in one second in vacuum | ≡ 299792458 m | |
| light-year | ly | ≡ Distance light travels in vacuum in 365.25 days [6] | ≡ 9.4607304725808×1015 m |
| line | ln | ≡ 1⁄12 in [7] | = 0.002116 m |
| link (Gunter’s; Surveyor’s) | lnk | ≡ 1⁄100 ch [4] ≡ 0.66 ft (US) ≡ 7.92 in | ≈ 0.2011684 m |
| link (Ramsden’s; Engineer’s) | lnk | ≡ 1 ft [4] | = 0.3048 m |
| metre (SI base unit) (meter) |
m | ≡ Distance light travels in 1⁄299792458 of a second in vacuum.[8] | (SI base unit) |
| mickey | ≡ 1⁄200 in | = 1.27×10−4 m | |
| micrometre (old: micron) | μ; μm | ≡ 1×10−6 m | ≡ 1×10−6 m |
| mil; thou | mil | ≡ 1×10−3 in | = 2.54×10−5 m |
| mil (Sweden and Norway) | mil | ≡ 10 km | = 10000 m |
| mile (geographical) (H) | ≡ 6082 ft | = 1853.7936 m | |
| mile (international) | mi | ≡ 80 chains ≡ 5280 ft ≡ 1760 yd | ≡ 1609.344 m |
| mile (tactical or data) | ≡ 6000 ft | ≡ 1828.8 m | |
| mile (telegraph) (H) | mi | ≡ 6087 ft | = 1855.3176 m |
| mile (US Survey) | mi | ≡ 5280 US Survey feet ≡ (5280 × 1200⁄3937) m | ≈ 1609.347219 m |
| nail (cloth) | ≡ 2+1⁄4 in [4] | = 0.05715 m | |
| nanometre | nm | ≡ 1×10−9 m | ≡ 1×10−9 m |
| nautical league | NL; nl | ≡ 3 nmi [4] | = 5556 m |
| nautical mile (Admiralty) | NM (Adm); nmi (Adm) | = 6080 ft | = 1853.184 m |
| nautical mile (international) | NM; nmi | ≡ 1852 m[9] | ≡ 1852 m |
| nautical mile (US pre 1954) | ≡ 1853.248 m | ≡ 1853.248 m | |
| pace | ≡ 2.5 ft [4] | = 0.762 m | |
| palm | ≡ 3 in [4] | = 0.0762 m | |
| parsec | pc | Distant point with a parallax shift of one arc second from a base of one astronomical unit. ≡ 648000/π au[10][11] |
≈ 30856775814913700 m[12] |
| pica | ≡ 12 points | Dependent on point measures. | |
| picometre | pm | ≡ 1×10−12 m | ≡ 1×10−12 m |
| point (American, English)[13][14] | pt | ≡ 1⁄72.272 in | ≈ 0.000351450 m |
| point (Didot; European) [14][15] | pt | ≡ 1⁄12 × 1⁄72 of pied du roi;
After 1878: |
≈ 0.00037597 m;
After 1878: |
| point (PostScript) [13] | pt | ≡ 1⁄72 in | = 0.0003527 m |
| point (TeX) [13] | pt | ≡ 1⁄72.27 in | = 0.0003514598 m |
| quarter | ≡ 1⁄4 yd | = 0.2286 m | |
| rod; pole; perch (H) | rd | ≡ 16+1⁄2 ft | = 5.0292 m |
| rope (H) | rope | ≡ 20 ft [4] | = 6.096 m |
| shaku (Japan) | ≡ 10/33 m | ≈ 0.303 0303 m | |
| span (H) | ≡ 9 in [4] | = 0.2286 m | |
| spat[16] | ≡ 1×1012 m | ||
| stick (H) | ≡ 2 in | = 0.0508 m | |
| toise (French, post 1667) (H) | T | ≡ 27000/13853 m | ≈ 1.949 0363 m |
| twip | twp | ≡ 1⁄1440 in | = 1.7638×10−5 m |
| x unit; siegbahn | xu | ≈ 1.0021×10−13 m [4] | |
| yard (International) | yd | ≡ 0.9144 m [5] ≡ 3 ft ≡ 36 in | ≡ 0.9144 m |
| yoctometre | ym | ≡ 1×10−24 m | ≡ 1×10−24 m |
| zeptometre | zm | ≡ 1×10−21 m | ≡ 1×10−21 m |
Area – MultiVerse Converter – Calculator
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| acre (international) | ac | ≡ 1 ch × 10 ch = 4840 sq yd | ≡ 4046.8564224 m2 |
| acre (US survey) | ac | ≡ 10 sq ch = 4840 sq yd, also 43560 sq ft | ≈ 4046.873 m2[17] |
| are | a | ≡ 100 m2 | ≡ 100 m2 |
| barn | b | ≡ 10−28 m2 | ≡ 10−28 m2 |
| barony | ≡ 4000 ac | ≡ 1.61874256896×107 m2 | |
| board | bd | ≡ 1 in × 1 ft | ≡ 7.74192×10−3 m2 |
| boiler horsepower equivalent direct radiation | bhp EDR | ≡ 1 ft2 × 1 bhp / (240 BTUIT/h) | ≈ 12.958174 m2 |
| circular inch | circ in | ≡ π⁄4 sq in | ≈ 5.067075×10−4 m2 |
| circular mil; circular thou | circ mil | ≡ π⁄4 mil2 | ≈ 5.067075×10−10 m2 |
| cord | ≡ 192 bd | ≡ 1.48644864 m2 | |
| cuerda (PR Survey) | cda | ≡ 1 cda x 1 cda = 0.971222 acre | ≡ 3930.395625 m2 |
| dunam | ≡ 1000 m2 | ≡ 1000 m2 | |
| guntha (India) | ≡ 121 sq yd | ≈ 101.17 m2 | |
| hectare | ha | ≡ 10000 m2 | ≡ 10000 m2 |
| hide | ≈ 120 ac (variable) | ≈ 5×105 m2 | |
| rood | ro | ≡ 1⁄4 ac | = 1011.7141056 m2 |
| ping | ≡ 20⁄11 m × 20⁄11 m | ≈ 3.306 m2 | |
| section | ≡ 1 mi × 1 mi | = 2.589988110336×106 m2 | |
| shed | ≡ 10−52 m2 | = 10−52 m2 | |
| square (roofing) | ≡ 10 ft × 10 ft | = 9.290304 m2 | |
| square chain (international) | sq ch | ≡ 66 ft × 66 ft = 1⁄10 ac | ≡ 404.68564224 m2 |
| square chain (US Survey) | sq ch | ≡ 66 ft (US) × 66 ft (US) = 1⁄10 US survey acre | ≈ 404.6873 m2 |
| square foot | sq ft | ≡ 1 ft × 1 ft | ≡ 9.290304×10−2 m2 |
| square foot (US Survey) | sq ft | ≡ 1 ft (US) × 1 ft (US) | ≈ 9.2903411613275×10−2 m2 |
| square inch | sq in | ≡ 1 in × 1 in | ≡ 6.4516×10−4 m2 |
| square kilometre | km2 | ≡ 1 km × 1 km | = 106 m2 |
| square link (Gunter’s)(International) | sq lnk | ≡ 1 lnk × 1 lnk ≡ 0.66 ft × 0.66 ft | = 4.0468564224×10−2 m2 |
| square link (Gunter’s)(US Survey) | sq lnk | ≡ 1 lnk × 1 lnk ≡ 0.66 ft (US) × 0.66 ft (US) | ≈ 4.046872×10−2 m2 |
| square link (Ramsden’s) | sq lnk | ≡ 1 lnk × 1 lnk ≡ 1 ft × 1 ft | = 0.09290304 m2 |
| square metre (SI unit) | m2 | ≡ 1 m × 1 m | = 1 m2 |
| square mil; square thou | sq mil | ≡ 1 mil × 1 mil | = 6.4516×10−10 m2 |
| square mile | sq mi | ≡ 1 mi × 1 mi | ≡ 2.589988110336×106 m2 |
| square mile (US Survey) | sq mi | ≡ 1 mi (US) × 1 mi (US) | ≈ 2.58999847×106 m2 |
| square rod/pole/perch | sq rd | ≡ 1 rd × 1 rd | = 25.29285264 m2 |
| square yard (International) | sq yd | ≡ 1 yd × 1 yd | ≡ 0.83612736 m2 |
| stremma | ≡ 1000 m2 | = 1000 m2 | |
| township | ≡ 36 sq mi (US) | ≈ 9.323994×107 m2 | |
| yardland | ≈ 30 ac | ≈ 1.2×105 m2 |
Volume – MultiVerse Converter – Calculator
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| acre-foot | ac ft | ≡ 1 ac x 1 ft = 43560 cu ft | = 1233.48183754752 m3 |
| acre-inch | ≡ 1 ac × 1 in | = 102.79015312896 m3 | |
| barrel (imperial) | bl (imp) | ≡ 36 gal (imp) | = 0.16365924 m3 |
| barrel (petroleum); archaic blue-barrel | bl; bbl | ≡ 42 gal (US) | ≡ 0.158987294928 m3 |
| barrel (US dry) | bl (US) | ≡ 105 qt (US) = 105/32 bu (US lvl) | = 0.115628198985075 m3 |
| barrel (US fluid) | fl bl (US) | ≡ 31+1⁄2 gal (US) | = 0.119240471196 m3 |
| board-foot | bdft | ≡ 144 cu in | ≡ 2.359737216×10−3 m3 |
| bucket (imperial) | bkt | ≡ 4 gal (imp) | = 0.01818436 m3 |
| bushel (imperial) | bu (imp) | ≡ 8 gal (imp) | = 0.03636872 m3 |
| bushel (US dry heaped) | bu (US) | ≡ 1+1⁄4 bu (US lvl) | = 0.0440488377086 m3 |
| bushel (US dry level) | bu (US lvl) | ≡ 2150.42 cu in | = 0.03523907016688 m3 |
| butt, pipe | ≡ 126 gal (US) (wine) | = 0.476961884784 m3 | |
| coomb | ≡ 4 bu (imp) | = 0.14547488 m3 | |
| cord (firewood) | ≡ 8 ft × 4 ft × 4 ft | = 3.624556363776 m3 | |
| cord-foot | ≡ 16 cu ft | = 0.453069545472 m3 | |
| cubic fathom | cu fm | ≡ 1 fm × 1 fm × 1 fm | = 6.116438863872 m3 |
| cubic foot | ft3 | ≡ 1 ft × 1 ft × 1 ft | ≡ 0.028316846592 m3 |
| cubic inch | in3 | ≡ 1 in × 1 in × 1 in | ≡ 16.387064×10−6 m3 |
| cubic metre (SI unit) | m3 | ≡ 1 m × 1 m × 1 m | ≡ 1 m3 |
| cubic mile | cu mi | ≡ 1 mi × 1 mi × 1 mi | ≡ 4168181825.440579584 m3 |
| cubic yard | yd3 | ≡ 27 cu ft | ≡ 0.764554857984 m3 |
| cup (breakfast) | ≡ 10 fl oz (imp) | = 284.130625×10−6 m3 | |
| cup (Canadian) | c (CA) | ≡ 8 fl oz (imp) | = 227.3045×10−6 m3 |
| cup (metric) | c | ≡ 250.0×10−6 m3 | ≡ 250.0×10−6 m3 |
| cup (US customary) | c (US) | ≡ 8 US fl oz ≡ 1⁄16 gal (US) | = 236.5882365×10−6 m3 |
| cup (US food nutrition labeling) | c (US) | ≡ 240 mL[18] | = 2.4×10−4 m3 |
| dash (imperial) | ≡ 1⁄192 gi (imp) = 1/8 tsp (imp) | = 739.92350260416×10−9 m3 | |
| dash (US) | ≡ 1⁄48 US fl oz = 1/8 US tsp | = 616.11519921875×10−9 m3 | |
| dessertspoon (imperial) | ≡ 1⁄12 gi (imp) | = 11.8387760416×10−6 m3 | |
| drop (imperial) | gtt | ≡ 1⁄288 fl oz (imp) | = 98.6564670138×10−9 m3 |
| drop (imperial) (alt) | gtt | ≡ 1⁄1824 gi (imp) | ≈ 77.886684×10−9 m3 |
| drop (medical) | ≡ 1⁄12 mL | = 83.3×10−9 m3 | |
| drop (metric) | ≡ 1⁄20 mL | = 50.0×10−9 m3 | |
| drop (US) | gtt | ≡ 1⁄360 US fl oz | = 82.14869322916×10−9 m3 |
| drop (US) (alt) | gtt | ≡ 1⁄456 US fl oz | ≈ 64.85423149671×10−9 m3 |
| drop (US) (alt) | gtt | ≡ 1⁄576 US fl oz | ≈ 51.34293326823×10−9 m3 |
| fifth | ≡ 1⁄5 US gal | = 757.0823568×10−6 m3 | |
| firkin | ≡ 9 gal (imp) | = 0.04091481 m3 | |
| fluid drachm (imperial) | fl dr | ≡ 1⁄8 fl oz (imp) | = 3.5516328125×10−6 m3 |
| fluid dram (US); US fluidram | fl dr | ≡ 1⁄8 US fl oz | = 3.6966911953125×10−6 m3 |
| fluid scruple (imperial) | fl s | ≡ 1⁄24 fl oz (imp) | = 1.18387760416×10−6 m3 |
| gallon (beer) | beer gal | ≡ 282 cu in | = 4.621152048×10−3 m3 |
| gallon (imperial) | gal (imp) | ≡ 4.54609 L | ≡ 4.54609×10−3 m3 |
| gallon (US dry) | gal (US) | ≡ 1⁄8 bu (US lvl) | = 4.40488377086×10−3 m3 |
| gallon (US fluid; Wine) | gal (US) | ≡ 231 cu in | ≡ 3.785411784×10−3 m3 |
| gill (imperial); Noggin | gi (imp); nog | ≡ 5 fl oz (imp) | = 142.0653125×10−6 m3 |
| gill (US) | gi (US) | ≡ 4 US fl oz | = 118.29411825×10−6 m3 |
| hogshead (imperial) | hhd (imp) | ≡ 2 bl (imp) | = 0.32731848 m3 |
| hogshead (US) | hhd (US) | ≡ 2 fl bl (US) | = 0.238480942392 m3 |
| jigger (bartending) | ≡ 1+1⁄2 US fl oz | ≈ 44.36×10−6 m3 | |
| kilderkin | ≡ 18 gal (imp) | = 0.08182962 m3 | |
| lambda | λ | ≡ 1 mm3 | = 1×10−9 m3 |
| last | ≡ 80 bu (imp) | = 2.9094976 m3 | |
| litre (liter) |
L or l | ≡ 1 dm3 [19] | ≡ 0.001 m3 |
| load | ≡ 50 cu ft | = 1.4158423296 m3 | |
| minim (imperial) | min | ≡ 1⁄480 fl oz (imp) = 1/60 fl dr (imp) | = 59.1938802083×10−9 m3 |
| minim (US) | min | ≡ 1⁄480 US fl oz = 1⁄60 US fl dr | = 61.611519921875×10−9 m3 |
| ounce (fluid imperial) | fl oz (imp) | ≡ 1⁄160 gal (imp) | ≡ 28.4130625×10−6 m3 |
| ounce (fluid US customary) | US fl oz | ≡ 1⁄128 gal (US) | ≡ 29.5735295625×10−6 m3 |
| ounce (fluid US food nutrition labeling) | US fl oz | ≡ 30 mL[18] | ≡ 3×10−5 m3 |
| peck (imperial) | pk | ≡ 2 gal (imp) | = 9.09218×10−3 m3 |
| peck (US dry) | pk | ≡ 1⁄4 US lvl bu | = 8.80976754172×10−3 m3 |
| perch | per | ≡ 16+1⁄2 ft × 1+1⁄2 ft × 1 ft | = 0.700841953152 m3 |
| pinch (imperial) | ≡ 1⁄384 gi (imp) = 1⁄2 dash (imp) | = 369.961751302083×10−9 m3 | |
| pinch (US) | ≡ 1⁄96 US fl oz = 1⁄2 US dash | = 308.057599609375×10−9 m3 | |
| pint (imperial) | pt (imp) | ≡ 1⁄8 gal (imp) | = 568.26125×10−6 m3 |
| pint (US dry) | pt (US dry) | ≡ 1⁄64 bu (US lvl) ≡ 1⁄8 gal (US dry) | = 550.6104713575×10−6 m3 |
| pint (US fluid) | pt (US fl) | ≡ 1⁄8 gal (US) | = 473.176473×10−6 m3 |
| pony | ≡ 3⁄4 US fl oz | = 22.180147171875×10−6 m3 | |
| pottle; quartern | ≡ 1⁄2 gal (imp) = 80 fl oz (imp) | = 2.273045×10−3 m3 | |
| quart (imperial) | qt (imp) | ≡ 1⁄4 gal (imp) | = 1.1365225×10−3 m3 |
| quart (US dry) | qt (US) | ≡ 1⁄32 bu (US lvl) = 1⁄4 gal (US dry) | = 1.101220942715×10−3 m3 |
| quart (US fluid) | qt (US) | ≡ 1⁄4 gal (US fl) | = 946.352946×10−6 m3 |
| quarter; pail | ≡ 8 bu (imp) | = 0.29094976 m3 | |
| register ton | ≡ 100 cu ft | = 2.8316846592 m3 | |
| sack (US) | ≡ 3 bu (US lvl) | = 0.10571721050064 m3 | |
| seam | ≡ 8 bu [16] | = 0.29095 m3 | |
| shot (US) | usually 1.5 US fl oz[16] | ≈ 44.4×10−6 m3 | |
| strike (imperial) | ≡ 2 bu (imp) | = 0.07273744 m3 | |
| strike (US) | ≡ 2 bu (US lvl) | = 0.07047814033376 m3 | |
| tablespoon (Australian metric) | ≡ 20.0×10−6 m3 | ||
| tablespoon (Canadian) | tbsp | ≡ 1⁄2 fl oz (imp) | = 14.20653125×10−6 m3 |
| tablespoon (imperial) | tbsp | ≡ 5⁄8 fl oz (imp) | = 17.7581640625×10−6 m3 |
| tablespoon (metric) | ≡ 15×10−6 m3 | ||
| tablespoon (US customary) | tbsp | ≡ 1⁄2 US fl oz | = 14.78676478125×10−6 m3 |
| tablespoon (US food nutrition labeling) | tbsp | ≡ 15 mL[18] | = 15×10−6 m3 |
| teaspoon (Canadian) | tsp | ≡ 1⁄6 fl oz (imp) | = 4.735510416×10−6 m3 |
| teaspoon (imperial) | tsp | ≡ 1⁄24 gi (imp) | = 5.91938802083×10−6 m3 |
| teaspoon (metric) | ≡ 5.0×10−6 m3 | ≡ 5.0×10−6 m3 | |
| teaspoon (US customary) | tsp | ≡ 1⁄6 US fl oz | = 4.92892159375×10−6 m3 |
| teaspoon (US food nutrition labeling) | tsp | ≡ 5 mL[18] | = 5×10−6 m3 |
| timber foot | ≡ 1 cu ft | = 0.028316846592 m3 | |
| ton (displacement) | ≡ 35 cu ft | = 0.99108963072 m3 | |
| ton (freight) | ≡ 40 cu ft | = 1.13267386368 m3 | |
| ton (water) | ≡ 28 bu (imp) | = 1.01832416 m3 | |
| tun | ≡ 252 gal (wine) | = 0.953923769568 m3 | |
| wey (US) | ≡ 40 bu (US lvl) | = 1.4095628066752 m3 |
Plane angle – MultiVerse Converter – Calculator
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| NATO mil | (various) | ≡ 2π⁄6400 rad | ≈ 0.981748×10−3 rad |
| Swedish streck | ≡ 2π⁄6300 rad | ≈ 0.997302×10−3 rad | |
| milliradian | mrad | ≡ 1⁄1000 rad | ≈ 1×10−3 rad |
| Warsaw Pact mil | ≡ 2π⁄6000 rad | ≈ 1.047167×10−3 rad | |
| arcminute; MOA | ‘ | ≡ 1°⁄60 | ≈ 0.290888×10−3 rad |
| arcsecond | “ | ≡ 1°⁄3600 | ≈ 4.848137×10−6 rad |
| centesimal minute of arc | ‘ | ≡ 1⁄100 grad | ≈ 0.157080×10−3 rad |
| centesimal second of arc | “ | ≡ 1⁄10000 grad | ≈ 1.570796×10−6 rad |
| degree (of arc) | ° | ≡ 1⁄360 of a revolution ≡ π⁄180 rad | ≈ 17.453293×10−3 rad |
| grad; gradian; gon | grad | ≡ 1⁄400 of a revolution ≡ π⁄200 rad ≡ 0.9° | ≈ 15.707963×10−3 rad |
| octant | ≡ 45° | ≈ 0.785398 rad | |
| quadrant | ≡ 90° | ≈ 1.570796 rad | |
| radian (SI unit) | rad | The angle subtended at the center of a circle by an arc whose length is equal to the circle’s radius. One full revolution encompasses 2π radians. |
= 1 rad |
| sextant | ≡ 60° | ≈ 1.047198 rad | |
| sign | ≡ 30° | ≈ 0.523599 rad |
Solid angle – MultiVerse Converter – Calculator
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| spat | ≡ 4π sr[16] – The solid angle subtended by a sphere at its centre. | ≈ 12.56637 sr | |
| square degree | deg2; sq.deg.; (°)2 | ≡ (π⁄180)2 sr | ≈ 0.30462×10−3 sr |
| steradian (SI unit) | sr | The solid angle subtended at the center of a sphere of radius r by a portion of the sphere having an area r2. A sphere subtends 4π sr.[16] |
= 1 sr |
Mass – MultiVerse Converter – Calculator
Notes:
- See Weight for detail of mass/weight distinction and conversion.
- Avoirdupois is a system of mass based on a pound of 16 ounces, while Troy weight is the system of mass where 12 troy ounces equals one troy pound.
- The symbol g0 is used to denote standard gravity in order to avoid confusion with the (upright) g symbol for gram.
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| atomic mass unit, unified | u; AMU | Same as dalton (see below) | ≈ 1.660539040(20)×10−27 kg[3] |
| atomic unit of mass, electron rest mass | me | ≈ 9.10938291(40)×10−31 kg[20] | |
| bag (coffee) | ≡ 60 kg | = 60 kg | |
| bag (Portland cement) | ≡ 94 lb av | = 42.63768278 kg | |
| barge | ≡ 22+1⁄2 short ton | = 20411.65665 kg | |
| carat | kt | ≡ 3+1⁄6 gr | = 205.1965483 mg |
| carat (metric) | ct | ≡ 200 mg | = 200 mg |
| clove | ≡ 8 lb av | = 3.62873896 kg | |
| crith | ≡ mass of 1 L of hydrogen gas at STP | ≈ 89.9349 mg | |
| dalton | Da | 1/12 the mass of an unbound neutral atom of carbon-12 in its nuclear and electronic ground state and at rest | ≈ 1.660538921(73)×10−27 kg[3] |
| dram (apothecary; troy) | dr t | ≡ 60 gr | = 3.8879346 g |
| dram (avoirdupois) | dr av | ≡ 27+11⁄32 gr | = 1.7718451953125 g |
| electronvolt mass-equivalent | eV/c2 | ≡ 1 eV / c2 | = 1.78266184(45)×10−36 kg[3] |
| gamma | γ | ≡ 1 μg | = 1 μg |
| grain | gr | ≡ 1⁄7000 lb av | ≡ 64.79891 mg |
| grave | gv | grave was the original name of the kilogram | ≡ 1 kg |
| hundredweight (long) | long cwt or cwt | ≡ 112 lb av | = 50.80234544 kg |
| hundredweight (short); cental | sh cwt | ≡ 100 lb av | = 45.359237 kg |
| hyl; metric slug | ≡ 1 kgf / 1 m/s2 | = 9.80665 kg | |
| kilogram (kilogramme) |
kg | ≈ mass of the prototype near Paris ≈ mass of 1 litre of water |
(SI base unit)[8] |
| kip | kip | ≡ 1000 lb av | = 453.59237 kg |
| mark | ≡ 8 oz t | = 248.8278144 g | |
| mite | ≡ 1⁄20 gr | = 3.2399455 mg | |
| mite (metric) | ≡ 1⁄20 g | = 50 mg | |
| ounce (apothecary; troy) | oz t | ≡ 1⁄12 lb t | = 31.1034768 g |
| ounce (avoirdupois) | oz av | ≡ 1⁄16 lb | = 28.349523125 g |
| ounce (US food nutrition labelling) | oz | ≡ 28 g[18] | = 28 g |
| pennyweight | dwt; pwt | ≡ 1⁄20 oz t | = 1.55517384 g |
| point | ≡ 1⁄100 ct | = 2 mg | |
| pound (avoirdupois) | lb av | ≡ 0.45359237 kg = 7000 grains | ≡ 0.45359237 kg |
| pound (metric) | ≡ 500 g | = 500 g | |
| pound (troy) | lb t | ≡ 5760 grains | = 0.3732417216 kg |
| quarter (imperial) | ≡ 1⁄4 long cwt = 2 st = 28 lb av | = 12.70058636 kg | |
| quarter (informal) | ≡ 1⁄4 short ton | = 226.796185 kg | |
| quarter, long (informal) | ≡ 1⁄4 long ton | = 254.0117272 kg | |
| quintal (metric) | q | ≡ 100 kg | = 100 kg |
| scruple (apothecary) | s ap | ≡ 20 gr | = 1.2959782 g |
| sheet | ≡ 1⁄700 lb av | = 647.9891 mg | |
| slug; geepound | slug | ≡ g0 × 1 lb av × 1 s2/ft | ≈ 14.593903 kg |
| stone | st | ≡ 14 lb av | = 6.35029318 kg |
| ton, assay (long) | AT | ≡ 1 mg × 1 long ton ÷ 1 oz t | = 32.6 g |
| ton, assay (short) | AT | ≡ 1 mg × 1 short ton ÷ 1 oz t | = 29.16 g |
| ton, long | long tn or ton | ≡ 2240 lb | = 1016.0469088 kg |
| ton, short | sh tn | ≡ 2000 lb | = 907.18474 kg |
| tonne (mts unit) | t | ≡ 1000 kg | = 1000 kg |
| wey | ≡ 252 lb = 18 st | = 114.30527724 kg (variants exist) | |
| zentner | Ztr. | Definitions vary.[16][21] |
Density – MultiVerse Converter – Calculator
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| gram per millilitre | g/mL | ≡ g/mL | = 1000 kg/m3 |
| kilogram per cubic metre (SI unit) | kg/m3 | ≡ kg/m3 | = 1 kg/m3 |
| kilogram per litre | kg/L | ≡ kg/L | = 1000 kg/m3 |
| ounce (avoirdupois) per cubic foot | oz/ft3 | ≡ oz/ft3 | ≈ 1.001153961 kg/m3 |
| ounce (avoirdupois) per cubic inch | oz/in3 | ≡ oz/in3 | ≈ 1.729994044×103 kg/m3 |
| ounce (avoirdupois) per gallon (imperial) | oz/gal | ≡ oz/gal | ≈ 6.236023291 kg/m3 |
| ounce (avoirdupois) per gallon (US fluid) | oz/gal | ≡ oz/gal | ≈ 7.489151707 kg/m3 |
| pound (avoirdupois) per cubic foot | lb/ft3 | ≡ lb/ft3 | ≈ 16.01846337 kg/m3 |
| pound (avoirdupois) per cubic inch | lb/in3 | ≡ lb/in3 | ≈ 2.767990471×104 kg/m3 |
| pound (avoirdupois) per gallon (imperial) | lb/gal | ≡ lb/gal | ≈ 99.77637266 kg/m3 |
| pound (avoirdupois) per gallon (US fluid) | lb/gal | ≡ lb/gal | ≈ 119.8264273 kg/m3 |
| slug per cubic foot | slug/ft3 | ≡ slug/ft3 | ≈ 515.3788184 kg/m3 |
Time – MultiVerse Converter – Calculator
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| atomic unit of time | a.u. | ≡ a0/(α⋅c) | ≈ 2.418884254×10−17 s |
| Callippic cycle | ≡ 441 mo (hollow) + 499 mo (full) = 76 a of 365.25 d | = 2.396736 Gs or 2.3983776 Gs[note 1] | |
| century | c | ≡ 100 years (100 a) | = 3.1556952 Gs[note 2][note 3] |
| day | d | = 24 h = 1440 min | = 86.4 ks[note 3] |
| day (sidereal) | d | ≡ Time needed for the Earth to rotate once around its axis, determined from successive transits of a very distant astronomical object across an observer’s meridian (International Celestial Reference Frame) | ≈ 86.1641 ks |
| decade | dec | ≡ 10 years (10 a) | = 315.569520 Ms[note 2][note 3] |
| fortnight | fn | ≡ 2 wk | = 1.2096 Ms[note 3] |
| helek | ≡ 1⁄1080 h | = 3.3 s | |
| Hipparchic cycle | ≡ 4 Callippic cycles – 1 d | = 9.593424 Gs | |
| hour | h | ≡ 60 min | = 3.6 ks[note 3] |
| jiffy | j | ≡ 1⁄60 s | = 16.6 ms |
| jiffy (alternative) | ja | ≡ 1⁄100 s | = 10 ms |
| kè (quarter of an hour) | ≡ 1⁄4 h = 1⁄96 d = 15 min | = 900 s | |
| kè (traditional) | ≡ 1⁄100 d = 14.4 min | = 864 s | |
| lustre; lūstrum | ≡ 5 a of 365 d[note 4] | = 157.68 Ms | |
| Metonic cycle; enneadecaeteris | ≡ 110 mo (hollow) + 125 mo (full) = 6940 d ≈ 19 a | = 599.616 Ms | |
| millennium | ≡ 1000 years (1000 a) | = 31.556952 Gs[note 2][note 3] | |
| milliday | md | ≡ 1⁄1000 d | = 86.4 s |
| minute | min | ≡ 60 s, due to leap seconds sometimes 59 s or 61 s, | = 60 s[note 3] |
| moment | ≡ 90 s | = 90 s | |
| month (full) | mo | ≡ 30 d[22] | = 2.592×106 s[note 3] |
| month (Greg. av.) | mo | = 30.436875 d | ≈ 2.6297 Ms[note 3] |
| month (hollow) | mo | ≡ 29 d[22] | = 2.5056 Ms[note 3] |
| Month (synodic) | mo | Cycle time of moon phases ≈ 29.530589 d (average) | ≈ 2.551 Ms |
| octaeteris | = 48 mo (full) + 48 mo (hollow) + 3 mo (full)[23][24] = 8 a of 365.25 d = 2922 d | = 252.4608 Ms[note 3] | |
| Planck time | ≡ (Gℏ⁄c5)1⁄2 | ≈ 5.39116×10−44 s[25] | |
| second (SI base unit) | s | ≡ Time of 9192631770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom at 0 K[8] (but other seconds are sometimes used in astronomy). Also that time it takes for light to travel a distance of 299792458 metres. | (SI base unit) |
| shake | ≡ 10−8 s | = 10 ns | |
| sigma | ≡ 10−6 s | = 1 μs | |
| Sothic cycle | ≡ 1461 a of 365 d | = 46.074096 Gs | |
| svedberg | S | ≡ 10−13 s | = 100 fs |
| week | wk | ≡ 7 d = 168 h = 10080 min | = 604.8 ks[note 3] |
| year (common) | a, y, or yr | 365 d | = 31.536 Ms[note 3][26] |
| year (Gregorian) | a, y, or yr | = 365.2425 d average, calculated from common years (365 d) plus leap years (366 d) on most years divisible by 4. See leap year for details. | = 31.556952 Ms[note 3] |
| year (Julian) | a, y, or yr | = 365.25 d average, calculated from common years (365 d) plus one leap year (366 d) every four years | = 31.5576 Ms |
| year (leap) | a, y, or yr | 366 d | = 31.6224 Ms[note 3][26] |
| year (mean tropical) | a, y, or yr | Conceptually, the length of time it takes for the Sun to return to the same position in the cycle of seasons, [Converter 1] approximately 365.24219 d, each day being 86400 SI seconds[27] | ≈ 31.556925 Ms |
| year (sidereal) | a, y, or yr | ≡ Time taken for Sun to return to the same position with respect to the stars of the celestial sphere, approximately 365.256363 d | ≈ 31.5581497632 Ms |
Notes:
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Frequency – MultiVerse Converter – Calculator
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| actions per minute | APM | ≡ 1/60 Hz | ≈ 0.0167 Hz |
| cycle per second | cps | ≡ 1 Hz | = 1 cps = 1 Hz |
| degree per second | deg/s | ≡ 1 °/s ≡ 1/360 Hz | = 0.0027 Hz |
| hertz (SI unit) | Hz | ≡ One cycle per second | = 1 Hz = 1/s |
| radian per second | rad/s | ≡ 1/(2π) Hz | ≈ 0.159155 Hz |
| revolution per minute | rpm | ≡ One rpm equals one rotation completed around a fixed axis in one minute of time. | ≈ 0.104719755 rad/s |
Speed or velocity – MultiVerse Converter – Calculator
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| foot per hour | fph | ≡ 1 ft/h | = 8.46×10−5 m/s |
| foot per minute | fpm | ≡ 1 ft/min | = 5.08×10−3 m/s |
| foot per second | fps | ≡ 1 ft/s | = 3.048×10−1 m/s |
| furlong per fortnight | ≡ furlong/fortnight | ≈ 1.663095×10−4 m/s | |
| inch per hour | iph | ≡ 1 in/h | = 7.05×10−6 m/s |
| inch per minute | ipm | ≡ 1 in/min | = 4.23×10−4 m/s |
| inch per second | ips | ≡ 1 in/s | = 2.54×10−2 m/s |
| kilometre per hour | km/h | ≡ 1 km/h | = 2.7×10−1 m/s |
| knot | kn | ≡ 1 nmi/h = 1.852 km/h | = 0.514 m/s |
| knot (Admiralty) | kn | ≡ 1 NM (Adm)/h = 1.853184 km/h[28] | = 0.514773 m/s |
| mach number | M | Ratio of the speed to the speed of sound[note 1] in the medium (unitless). | ≈ 340 m/s in air at sea level ≈ 295 m/s in air at jet altitudes |
| metre per second (SI unit) | m/s | ≡ 1 m/s | = 1 m/s |
| mile per hour | mph | ≡ 1 mi/h | = 0.44704 m/s |
| mile per minute | mpm | ≡ 1 mi/min | = 26.8224 m/s |
| mile per second | mps | ≡ 1 mi/s | = 1609.344 m/s |
| speed of light in vacuum | c | ≡ 299792458 m/s | = 299792458 m/s |
| speed of sound in air | s | 1225 to 1062 km/h (761–660 mph or 661–574 kn)[note 1] | ≈ 340 to 295 m/s |
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A velocity consists of a speed combined with a direction; the speed part of the velocity takes units of speed.
Flow (volume) – MultiVerse Converter – Calculator
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| cubic foot per minute | CFM[citation needed] | ≡ 1 ft3/min | = 4.719474432×10−4 m3/s |
| cubic foot per second | ft3/s | ≡ 1 ft3/s | = 0.028316846592 m3/s |
| cubic inch per minute | in3/min | ≡ 1 in3/min | = 2.7311773×10−7 m3/s |
| cubic inch per second | in3/s | ≡ 1 in3/s | = 1.6387064×10−5 m3/s |
| cubic metre per second (SI unit) | m3/s | ≡ 1 m3/s | = 1 m3/s |
| gallon (US fluid) per day | GPD[citation needed] | ≡ 1 gal/d | = 4.381263638×10−8 m3/s |
| gallon (US fluid) per hour | GPH[citation needed] | ≡ 1 gal/h | = 1.051503273×10−6 m3/s |
| gallon (US fluid) per minute | GPM[citation needed] | ≡ 1 gal/min | = 6.30901964×10−5 m3/s |
| litre per minute | l/min or L/min | ≡ 1 L/min | = 1.6×10−5 m3/s |
Acceleration – MultiVerse Converter – Calculator
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| foot per hour per second | fph/s | ≡ 1 ft/(h⋅s) | = 8.46×10−5 m/s2 |
| foot per minute per second | fpm/s | ≡ 1 ft/(min⋅s) | = 5.08×10−3 m/s2 |
| foot per second squared | fps2 | ≡ 1 ft/s2 | = 3.048×10−1 m/s2 |
| gal; galileo | Gal | ≡ 1 cm/s2 | = 10−2 m/s2 |
| inch per minute per second | ipm/s | ≡ 1 in/(min⋅s) | = 4.23×10−4 m/s2 |
| inch per second squared | ips2 | ≡ 1 in/s2 | = 2.54×10−2 m/s2 |
| knot per second | kn/s | ≡ 1 kn/s | ≈ 5.14×10−1 m/s2 |
| metre per second squared (SI unit) | m/s2 | ≡ 1 m/s2 | = 1 m/s2 |
| mile per hour per second | mph/s | ≡ 1 mi/(h⋅s) | = 4.4704×10−1 m/s2 |
| mile per minute per second | mpm/s | ≡ 1 mi/(min⋅s) | = 26.8224 m/s2 |
| mile per second squared | mps2 | ≡ 1 mi/s2 | = 1.609344×103 m/s2 |
| standard gravity | g0 | ≡ 9.80665 m/s2 | = 9.80665 m/s2 |
Force – MultiVerse Converter – Calculator
See also: Weight § Mass, and Mass versus weight
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| atomic unit of force | ≡ me⋅α2⋅c2⁄a0 | ≈ 8.23872206×10−8 N[30] | |
| dyne (CGS unit) | dyn | ≡ g⋅cm/s2 | = 10−5 N |
| kilogram-force; kilopond; grave-force | kgf; kp; gvf | ≡ g0 × 1 kg | = 9.80665 N |
| kip; kip-force | kip; kipf; klbf | ≡ g0 × 1000 lb | = 4.4482216152605×103 N |
| milligrave-force, gravet-force | mgvf; gvtf | ≡ g0 × 1 g | = 9.80665 mN |
| long ton-force | tnf[citation needed] | ≡ g0 × 1 long ton | = 9.96401641818352×103 N |
| newton (SI unit) | N | A force capable of giving a mass of one kilogram an acceleration of one metre per second per second.[31] | = 1 N = 1 kg⋅m/s2 |
| ounce-force | ozf | ≡ g0 × 1 oz | = 0.27801385095378125 N |
| pound-force | lbf | ≡ g0 × 1 lb | = 4.4482216152605 N |
| poundal | pdl | ≡ 1 lb⋅ft/s2 | = 0.138254954376 N |
| short ton-force | tnf[citation needed] | ≡ g0 × 1 short ton | = 8.896443230521×103 N |
| sthene (mts unit) | sn | ≡ 1 t⋅m/s2 | = 103 N |
Pressure or mechanical stress – MultiVerse Converter – Calculator
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| atmosphere (standard) | atm | ≡ 101325 Pa[32] | |
| atmosphere (technical) | at | ≡ 1 kgf/cm2 | = 9.80665×104 Pa[32] |
| bar | bar | ≡ 100000 Pa | ≡ 105 Pa |
| barye (CGS unit) | ≡ 1 dyn/cm2 | = 0.1 Pa | |
| centimetre of mercury | cmHg | ≡ 13595.1 kg/m3 × 1 cm × g0 | ≈ 1.33322×103 Pa[32] |
| centimetre of water (4 °C) | cmH2O | ≈ 999.972 kg/m3 × 1 cm × g0 | ≈ 98.0638 Pa[32] |
| foot of mercury (conventional) | ftHg | ≡ 13595.1 kg/m3 × 1 ft × g0 | ≈ 4.063666×104 Pa[32] |
| foot of water (39.2 °F) | ftH2O | ≈ 999.972 kg/m3 × 1 ft × g0 | ≈ 2.98898×103 Pa[32] |
| inch of mercury (conventional) | inHg | ≡ 13595.1 kg/m3 × 1 in × g0 | ≈ 3.386389×103 Pa[32] |
| inch of water (39.2 °F) | inH2O | ≈ 999.972 kg/m3 × 1 in × g0 | ≈ 249.082 Pa[32] |
| kilogram-force per square millimetre | kgf/mm2 | ≡ 1 kgf/mm2 | = 9.80665×106 Pa[32] |
| kip per square inch | ksi | ≡ 1 kipf/sq in | ≈ 6.894757×106 Pa[32] |
| long ton per square foot | ≡ 1 long ton × g0 / 1 sq ft | ≈ 1.0725178011595×105 Pa | |
| micrometre of mercury | μmHg | ≡ 13595.1 kg/m3 × 1 μm × g0 ≈ 0.001 torr | ≈ 0.1333224 Pa[32] |
| millimetre of mercury | mmHg | ≡ 13595.1 kg/m3 × 1 mm × g0 ≈ 1 torr | ≈ 133.3224 Pa[32] |
| millimetre of water (3.98 °C) | mmH2O | ≈ 999.972 kg/m3 × 1 mm × g0 = 0.999972 kgf/m2 | = 9.80638 Pa |
| pascal (SI unit) | Pa | ≡ N/m2 = kg/(m⋅s2) | = 1 Pa[33] |
| pièze (mts unit) | pz | ≡ 1000 kg/m⋅s2 | = 103 Pa = 1 kPa |
| pound per square foot | psf | ≡ 1 lbf/ft2 | ≈ 47.88026 Pa[32] |
| pound per square inch | psi | ≡ 1 lbf/in2 | ≈ 6.894757×103 Pa[32] |
| poundal per square foot | pdl/sq ft | ≡ 1 pdl/sq ft | ≈ 1.488164 Pa[32] |
| short ton per square foot | ≡ 1 short ton × g0 / 1 sq ft | ≈ 9.5760518×104 Pa | |
| torr | torr | ≡ 101325⁄760 Pa | ≈ 133.3224 Pa[32] |
Torque or moment of force – MultiVerse Converter – Calculator
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| pound-force-foot | lbf⋅ft | ≡ g0 × 1 lb × 1 ft | = 1.3558179483314004 N⋅m |
| poundal-ft | pdl⋅ft | ≡ 1 lb⋅ft2/s2 | = 4.21401100938048×10−2 N⋅m |
| pound force-inch | lbf⋅in | ≡ g0 × 1 lb × 1 in | = 0.1129848290276167 N⋅m |
| kilogram force-meter | kgf⋅m | ≡ g0 × N × m | = 9.80665 N⋅m |
| newton-metre (SI unit) | N⋅m | ≡ N × m = kg⋅m2/s2 | = 1 N⋅m |
Energy – MultiVerse Converter – Calculator
See also: Units of energy
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| barrel of oil equivalent | boe | ≈ 5.8×106 BTU59 °F | ≈ 6.12×109 J |
| British thermal unit (ISO) | BTUISO | ≡ 1.0545×103 J | = 1.0545×103 J |
| British thermal unit (International Table) | BTUIT | = 1.05505585262×103 J | |
| British thermal unit (mean) | BTUmean | ≈ 1.05587×103 J | |
| British thermal unit (thermochemical) | BTUth | ≈ 1.054350×103 J | |
| British thermal unit (39 °F) | BTU39 °F | ≈ 1.05967×103 J | |
| British thermal unit (59 °F) | BTU59 °F | ≡ 1.054804×103 J | = 1.054804×103 J |
| British thermal unit (60 °F) | BTU60 °F | ≈ 1.05468×103 J | |
| British thermal unit (63 °F) | BTU63 °F | ≈ 1.0546×103 J | |
| calorie (International Table) | calIT | ≡ 4.1868 J | = 4.1868 J |
| calorie (mean) | calmean | 1⁄100 of the energy required to warm one gram of air-free water from 0 °C to 100 °C at a pressure of 1 atm | ≈ 4.19002 J |
| calorie (thermochemical) | calth | ≡ 4.184 J | = 4.184 J |
| Calorie (US; FDA) | Cal | ≡ 1 kcal = 1000 cal | = 4184 J |
| calorie (3.98 °C) | cal3.98 °C | ≈ 4.2045 J | |
| calorie (15 °C) | cal15 °C | ≡ 4.1855 J | = 4.1855 J |
| calorie (20 °C) | cal20 °C | ≈ 4.1819 J | |
| Celsius heat unit (International Table) | CHUIT | ≡ 1 BTUIT × 1 K/°R | = 1.899100534716×103 J |
| cubic centimetre of atmosphere; standard cubic centimetre | cc atm; scc | ≡ 1 atm × 1 cm3 | = 0.101325 J |
| cubic foot of atmosphere; standard cubic foot | cu ft atm; scf | ≡ 1 atm × 1 ft3 | = 2.8692044809344×103 J |
| cubic foot of natural gas | ≡ 1000 BTUIT | = 1.05505585262×106 J | |
| cubic yard of atmosphere; standard cubic yard | cu yd atm; scy | ≡ 1 atm × 1 yd3 | = 77.4685209852288×103 J |
| electronvolt | eV | ≡ e × 1 V | ≡ 1.602176634×10−19 J |
| erg (CGS unit) | erg | ≡ 1 g⋅cm2/s2 | = 10−7 J |
| foot-pound force | ft lbf | ≡ g0 × 1 lb × 1 ft | = 1.3558179483314004 J |
| foot-poundal | ft pdl | ≡ 1 lb⋅ft2/s2 | = 4.21401100938048×10−2 J |
| gallon-atmosphere (imperial) | imp gal atm | ≡ 1 atm × 1 gal (imp) | = 460.63256925 J |
| gallon-atmosphere (US) | US gal atm | ≡ 1 atm × 1 gal (US) | = 383.5568490138 J |
| hartree, atomic unit of energy | Eh | ≡ me⋅α2⋅c2 (= 2 Ry) | ≈ 4.359744×10−18 J |
| horsepower-hour | hp⋅h | ≡ 1 hp × 1 h | = 2.684519537696172792×106 J |
| inch-pound force | in lbf | ≡ g0 × 1 lb × 1 in | = 0.1129848290276167 J |
| joule (SI unit) | J | The work done when a force of one newton moves the point of its application a distance of one metre in the direction of the force.[31] | = 1 J = 1 m⋅N = 1 kg⋅m2/s2 = 1 C⋅V = 1 W⋅s |
| kilocalorie; large calorie | kcal; Cal | ≡ 1000 calIT | = 4.1868×103 J |
| kilowatt-hour; Board of Trade Unit | kW⋅h; B.O.T.U. | ≡ 1 kW × 1 h | = 3.6×106 J |
| litre–atmosphere | l atm; sl | ≡ 1 atm × 1 L | = 101.325 J |
| quad | ≡ 1015 BTUIT | = 1.05505585262×1018 J | |
| rydberg | Ry | ≡ R∞⋅ℎ⋅c | ≈ 2.179872×10−18 J |
| therm (E.C.) | ≡ 100000 BTUIT | = 105.505585262×106 J | |
| therm (US) | ≡ 100000 BTU59 °F | = 105.4804×106 J | |
| thermie | th | ≡ 1 McalIT | = 4.1868×106 J |
| tonne of coal equivalent | TCE | ≡ 7 Gcalth | = 29.288×109 J |
| tonne of oil equivalent | toe | ≡ 10 GcalIT | = 41.868×109 J |
| ton of TNT | tTNT | ≡ 1 Gcalth | = 4.184×109 J |
| watt-hour | W⋅h | ≡ 1 W × 1 h | = 3.6×103 J |
| watt-second | W⋅s | ≡ 1 J | = 1×100 J |
Power or heat flow rate – MultiVerse Converter – Calculator
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| atmosphere-cubic centimetre per minute | atm ccm[citation needed] | ≡ 1 atm × 1 cm3/min | = 1.68875×10−3 W |
| atmosphere-cubic centimetre per second | atm ccs[citation needed] | ≡ 1 atm × 1 cm3/s | = 0.101325 W |
| atmosphere-cubic foot per hour | atm cfh[citation needed] | ≡ 1 atm × 1 cu ft/h | = 0.79700124704 W |
| atmosphere-cubic foot per minute | atm cfm[citation needed] | ≡ 1 atm × 1 cu ft/min | = 47.82007468224 W |
| atmosphere-cubic foot per second | atm cfs[citation needed] | ≡ 1 atm × 1 cu ft/s | = 2.8692044809344×103 W |
| BTU (International Table) per hour | BTUIT/h | ≡ 1 BTUIT/h | ≈ 0.293071 W |
| BTU (International Table) per minute | BTUIT/min | ≡ 1 BTUIT/min | ≈ 17.584264 W |
| BTU (International Table) per second | BTUIT/s | ≡ 1 BTUIT/s | = 1.05505585262×103 W |
| calorie (International Table) per second | calIT/s | ≡ 1 calIT/s | = 4.1868 W |
| erg per second | erg/s | ≡ 1 erg/s | = 10−7 W |
| foot-pound-force per hour | ft⋅lbf/h | ≡ 1 ft lbf/h | ≈ 3.766161×10−4 W |
| foot-pound-force per minute | ft⋅lbf/min | ≡ 1 ft lbf/min | = 2.259696580552334×10−2 W |
| foot-pound-force per second | ft⋅lbf/s | ≡ 1 ft lbf/s | = 1.3558179483314004 W |
| horsepower (boiler) | hp | ≈ 34.5 lb/h × 970.3 BTUIT/lb | ≈ 9809.5 W[34] |
| horsepower (European electrical) | hp | ≡ 75 kp⋅m/s | = 736 W[citation needed] |
| horsepower (electrical) | hp | ≡ 746 W | = 746 W[34] |
| horsepower (mechanical) | hp | ≡ 550 ft⋅lbf/s[34] | = 745.69987158227022 W |
| horsepower (metric) | hp or PS | ≡ 75 m⋅kgf/s | = 735.49875 W[34] |
| litre-atmosphere per minute | L·atm/min | ≡ 1 atm × 1 L/min | = 1.68875 W |
| litre-atmosphere per second | L·atm/s | ≡ 1 atm × 1 L/s | = 101.325 W |
| lusec | lusec | ≡ 1 L·µmHg/s [16] | ≈ 1.333×10−4 W |
| poncelet | p | ≡ 100 m⋅kgf/s | = 980.665 W |
| square foot equivalent direct radiation | sq ft EDR | ≡ 240 BTUIT/h | ≈ 70.337057 W |
| ton of air conditioning | ≡ 2000 lb of ice melted / 24 h | ≈ 3504 W | |
| ton of refrigeration (imperial) | ≡ 2240 lb × iceIT / 24 h: iceIT = 144 °F × 2326 J/kg⋅°F | ≈ 3.938875×103 W | |
| ton of refrigeration (IT) | ≡ 2000 lb × iceIT / 24 h: iceIT = 144 °F × 2326 J/kg⋅°F | ≈ 3.516853×103 W | |
| watt (SI unit) | W | The power which in one second of time gives rise to one joule of energy.[31] | = 1 W = 1 J/s = 1 N⋅m/s = 1 kg⋅m2/s3 |
Action – MultiVerse Converter – Calculator
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| atomic unit of action | au | ≡ ℏ ≡ ℎ⁄2π | ≈ 1.05457168×10−34 J⋅s[35] |
Dynamic viscosity – MultiVerse Converter – Calculator
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| pascal second (SI unit) | Pa⋅s | ≡ N⋅s/m2, kg/(m⋅s) | = 1 Pa⋅s |
| poise (CGS unit) | P | ≡ 1 barye⋅s | = 0.1 Pa⋅s |
| pound per foot hour | lb/(ft⋅h) | ≡ 1 lb/(ft⋅h) | ≈ 4.133789×10−4 Pa⋅s |
| pound per foot second | lb/(ft⋅s) | ≡ 1 lb/(ft⋅s) | ≈ 1.488164 Pa⋅s |
| pound-force second per square foot | lbf⋅s/ft2 | ≡ 1 lbf⋅s/ft2 | ≈ 47.88026 Pa⋅s |
| pound-force second per square inch | lbf⋅s/in2 | ≡ 1 lbf⋅s/in2 | ≈ 6894.757 Pa⋅s |
Kinematic viscosity – MultiVerse Converter – Calculator
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| square foot per second | ft2/s | ≡ 1 ft2/s | = 0.09290304 m2/s |
| square metre per second (SI unit) | m2/s | ≡ 1 m2/s | = 1 m2/s |
| stokes (CGS unit) | St | ≡ 1 cm2/s | = 10−4 m2/s |
Electric current – MultiVerse Converter – Calculator
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| ampere (SI base unit) | A | ≡ one coulomb of charge going past a given point per second.[36] | (SI base unit) |
| electromagnetic unit; abampere (CGS unit) | abamp | ≘ 10 A | = 10 A |
| esu per second; statampere (CGS unit) | esu/s | ≘ (10 A⋅cm/s) / c | ≈ 3.335641×10−10 A |
Electric charge – MultiVerse Converter – Calculator
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| abcoulomb; electromagnetic unit (CGS unit) | abC; emu | ≘ 10 C | = 10 C |
| atomic unit of charge | au | ≡ e | = 1.602176634×10−19 C |
| coulomb | C | ≡ charge of exactly 1/(1.602176634×10−19) elementary charges[36] | = 1 C = 1 A⋅s |
| faraday | F | ≡ 1 mol × NA⋅e | ≈ 96485.3383 C |
| milliampere hour | mA⋅h | ≡ 0.001 A × 1 h | = 3.6 C |
| statcoulomb; franklin; electrostatic unit (CGS unit) | statC; Fr; esu | ≘ (10 A⋅cm) / c | ≈ 3.335641×10−10 C |
Electric dipole – MultiVerse Converter – Calculator
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| atomic unit of electric dipole moment | ea0 | ≈ 8.47835281×10−30 C⋅m[37] | |
| coulomb-meter | C⋅m | = 1 C⋅m | |
| debye | D | ≡ 10−10 esu⋅Å | ≘ 3.33564095×10−30 C⋅m[38] |
Electromotive force, electric potential difference
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| abvolt (CGS unit) | abV | ≘ 10−8 V | = 10−8 V |
| statvolt (CGS unit) | statV | ≘ c⋅(1 μJ/A⋅m) | = 299.792458 V |
| volt (SI unit) | V | The difference in electric potential across two points along a conducting wire carrying one ampere of constant current when the power dissipated between the points equals one watt.[31] | = 1 V = 1 W/A = 1 kg⋅m2/(A⋅s3) = 1 J/C |
Electrical resistance
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| ohm (SI unit) | Ω | The resistance between two points in a conductor when one volt of electric potential difference, applied to these points, produces one ampere of current in the conductor.[31] | = 1 Ω = 1 V/A = 1 kg⋅m2/(A2⋅s3) |
Capacitance
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| farad (SI unit) | F | The capacitance between two parallel plates that results in one volt of potential difference when charged by one coulomb of electricity.[31] | = 1 F = 1 C/V = 1 A2⋅s4/(kg⋅m2) |
Magnetic flux
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| maxwell (CGS unit) | Mx | ≘ 10−8 Wb[34] | = 10−8 Wb |
| weber (SI unit) | Wb | Magnetic flux which, linking a circuit of one turn, would produce in it an electromotive force of 1 volt if it were reduced to zero at a uniform rate in 1 second.[31] | = 1 Wb = 1 V⋅s = 1 kg⋅m2/(A⋅s2) |
Magnetic flux density
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| gauss (CGS unit) | G | ≡ Mx/cm2 ≘ 10−4 T | = 10−4 T [39] |
| tesla (SI unit) | T | ≡ Wb/m2 | = 1 T = 1 Wb/m2 = 1 kg/(A⋅s2) |
Inductance – MultiVerse Converter – Calculator
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| henry (SI unit) | H | The inductance of a closed circuit that produces one volt of electromotive force when the current in the circuit varies at a uniform rate of one ampere per second.[31] | = 1 H = 1 Wb/A = 1 kg⋅m2/(A⋅s)2 |
Temperature – MultiVerse Converter – Calculator
Further information: Conversion of units of temperature
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| degree Celsius | °C | [°C] ≡ [K] − 273.15 | [K] ≡ [°C] + 273.15 |
| degree Delisle | °De | [K] = 373.15 − [°De] × 2⁄3 | |
| degree Fahrenheit | °F | [°F] ≡ [°C] × 9⁄5 + 32 | [K] ≡ ([°F] + 459.67) × 5⁄9 |
| degree Newton | °N | [K] = [°N] × 100⁄33 + 273.15 | |
| degree Rankine | °R; | [°R] ≡ [K] × 9⁄5 | [K] ≡ [°R] × 5/9 |
| degree Réaumur | °Ré | [K] = [°Ré] × 5⁄4 + 273.15 | |
| degree Rømer | °Rø | [K] = ([°Rø] − 7.5) × 40⁄21 + 273.15 | |
| Regulo Gas Mark | GM | [°F] ≡ [GM] × 25 + 250 | [K] ≡ [GM] × 125⁄9 + 394.26 |
| kelvin (SI base unit) | K | ≡ change in the thermodynamic temperature T that results in a change of thermal energy kT by 1.380 649 × 10−23 J.[40] | (SI base unit) |
Information entropy
| Name of unit | Symbol | Definition | Relation to SI units | Relation to bits |
|---|---|---|---|---|
| natural unit of information; nit; nepit | nat | |||
| shannon | Sh | ≡ ln(2) × nat | ≈ 0.693147 nat | = 1 bit |
| hartley; ban | Hart; ban | ≡ ln(10) × nat | ≈ 2.302585 nat | |
| bit | bit; b | = 1 bit | ||
| nibble | ≡ 4 bits | = 22 bit | ||
| byte | B | ≡ 8 bits | = 23 bit | |
| kilobyte (decimal) | kB | ≡ 1000 B | = 8000 bit | |
| kibibyte (kilobyte) | KiB | ≡ 1024 B | = 213 bit = 8192 bit |
Modern standards (such as ISO 80000) prefer the shannon to the bit as a unit for a quantity of information entropy, whereas the (discrete) storage space of digital devices is measured in bits. Thus, uncompressed redundant data occupy more than one bit of storage per shannon of information entropy. The multiples of a bit listed above are usually used with this meaning.
Luminous intensity
The candela is the preferred nomenclature for the SI unit.
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| candela (SI base unit) | cd | The luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency 540×1012 hertz and that has a radiant intensity in that direction of 1/683 watt per steradian.[36] | (SI base unit) |
| candlepower (new) | cp | ≡ cd The use of candlepower as a unit is discouraged due to its ambiguity. | = 1 cd |
| candlepower (old, pre-1948) | cp | Varies and is poorly reproducible.[41] Approximately 0.981 cd.[16] | ≈ 0.981 cd |
Luminance
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| candela per square foot | cd/ft2 | ≡ cd/ft2 | ≈ 10.763910417 cd/m2 |
| candela per square inch | cd/in2 | ≡ cd/in2 | ≈ 1550.0031 cd/m2 |
| candela per square metre (SI unit); nit (deprecated[16]) | cd/m2 | ≡ cd/m2 | = 1 cd/m2 |
| footlambert | fL | ≡ (1/π) cd/ft2 | ≈ 3.4262590996 cd/m2 |
| lambert | L | ≡ (104/π) cd/m2 | ≈ 3183.0988618 cd/m2 |
| stilb (CGS unit) | sb | ≡ 104 cd/m2 | = 104 cd/m2 |
Luminous flux
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| lumen (SI unit) | lm | The luminous flux of a source that emits monochromatic radiation of frequency 540×1012 hertz and that has a radiant flux of 1/683 watt.[36] | = 1 lm = 1 cd⋅sr |
Illuminance
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| footcandle; lumen per square foot | fc | ≡ lm/ft2 | = 10.763910417 lx |
| lumen per square inch | lm/in2 | ≡ lm/in2 | ≈ 1550.0031 lx |
| lux (SI unit) | lx | ≡ lm/m2 | = 1 lx = 1 lm/m2 |
| phot (CGS unit) | ph | ≡ lm/cm2 | = 104 lx |
Radiation – MultiVerse Converter – Calculator
Radiation – source activity
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| becquerel (SI unit) | Bq | ≡ Number of disintegrations per second | = 1 Bq = 1/s |
| curie | Ci | ≡ 3.7×1010 Bq[42] | = 3.7×1010 Bq |
| rutherford (H) | Rd | ≡ 1 MBq | = 106 Bq |
Although becquerel (Bq) and hertz (Hz) both ultimately refer to the same SI base unit (s−1), Hz is used only for periodic phenomena (i.e. repetitions at regular intervals), and Bq is only used for stochastic processes (i.e. at random intervals) associated with radioactivity.[43]
Radiation – exposure
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| roentgen | R | 1 R ≡ 2.58×10−4 C/kg[34] | = 2.58×10−4 C/kg |
The roentgen is not an SI unit and the NIST strongly discourages its continued use.[44]
Radiation – absorbed dose
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| gray (SI unit) | Gy | ≡ 1 J/kg[45] | = 1 Gy = 1 J/kg = 1 m2⋅s2 |
| rad | rad | ≡ 0.01 Gy[34] | = 0.01 Gy |
Radiation – equivalent dose
| Name of unit | Symbol | Definition | Relation to SI units |
|---|---|---|---|
| Röntgen equivalent man | rem | ≡ 0.01 Sv | = 0.01 Sv |
| sievert (SI unit) | Sv | ≡ 1 J/kg[43] | = 1 Sv = 1 J/kg = 1 m2⋅s2 |
Although the definitions for sievert (Sv) and gray (Gy) would seem to indicate that they measure the same quantities, this is not the case. The effect of receiving a certain dose of radiation (given as Gy) is variable and depends on many factors, thus a new unit was needed to denote the biological effectiveness of that dose on the body; this is known as the equivalent dose and is shown in Sv. The general relationship between absorbed dose and equivalent dose can be represented as
- H = Q ⋅ D
where H is the equivalent dose, D is the absorbed dose, and Q is a dimensionless quality factor. Thus, for any quantity of D measured in Gy, the numerical value for H measured in Sv may be different.[46]
Notes
- ^ The technical definition of tropical year is the period of time for the ecliptic longitude of the Sun to increase 360 degrees. (Urban & Seidelmann 2013, Glossary, s.v. year, tropical)
References – MultiVerse Converter – Calculator
- ^ jobs (September 14, 2012). “The astronomical unit gets fixed : Nature News & Comment”. Nature. Nature.com. doi:10.1038/nature.2012.11416. S2CID 123424704. Retrieved August 31, 2013.
- ^ “NIST Reference on Constants, Units, and Uncertainty.”(2010). National Institute of Standards and Technology. Retrieved October 17, 2014.
- ^ Jump up to:a b c d e “NIST – National Institute of Standards and Technology”. NIST.
- ^ Jump up to:a b c d e f g h i j k l m n Lide, D. (Ed.). (1990). Handbook of Chemistry and Physics (71st ed). Boca Raton, FL: CRC Press. Section 1.
- ^ Jump up to:a b National Bureau of Standards. (June 30, 1959). Refinement of values for the yard and the pound. Federal Register, viewed September 20, 2006 at National Geodetic Survey web site.
- ^ “International Astronomical Union – IAU”. www.iau.org.
- ^ Klein, Herbert Arthur. (1988). The Science of Measurement: a Historical Survey. Mineola, NY: Dover Publications 0-4862-5839-4.
- ^ Jump up to:a b c The International System of Units, Section 2.1 (8 ed.), Bureau International des Poids et Mesures, 2006, archived from the original on October 1, 2009, retrieved August 26, 2009
- ^ International System of Units, Archived August 21, 2008, at the Wayback Machine 8th ed. (2006), Bureau International des Poids et Mesures, Section 4.1 Table 8.
- ^ Cox, Arthur N., ed. (2000). Allen’s Astrophysical Quantities (4th ed.). New York: AIP Press / Springer. Bibcode:2000asqu.book…..C. ISBN 0387987460.
- ^ Binney, James; Tremaine, Scott (2008). Galactic Dynamics (2nd ed.). Princeton, NJ: Princeton University Press. Bibcode:2008gady.book…..B. ISBN 978-0-691-13026-2.
- ^ P. Kenneth Seidelmann, Ed. (1992). Explanatory Supplement to the Astronomical Almanac. Sausalito, CA: University Science Books. p. 716 and s.v. parsec in Glossary.
- ^ Jump up to:a b c Whitelaw, Ian. (2007). A Measure of All Things: The Story of Man and Measurement. New York: Macmillan 0-312-37026-1. p. 152.
- ^ Jump up to:a b De Vinne, Theodore Low (1900). The practice of typography: a treatise on the processes of type-making, the point system, the names, sizes, styles and prices of plain printing types 2nd ed. New York: The Century Co. p. 142–150.
- ^ Pasko, Wesley Washington (1894). American dictionary of printing and bookmaking. (1894). New York: Howard Lockwood. p. 521.
- ^ Jump up to:a b c d e f g h i Rowlett, Russ (2005), How Many? A Dictionary of Units of Measurement
- ^ Thompson, A. and Taylor, B.N. (2008). Guide for the Use of the International System of Units (SI). National Institute of Standards and Technology Special Publication 811. p. 57.
- ^ Jump up to:a b c d e US Code of Federal Regulations, Title 21, Section 101.9, Paragraph (b)(5)(viii), archived from the original on August 13, 2009, retrieved August 29, 2009
- ^ Barry N. Taylor, Ed.,NIST Special Publication 330: The International System of Units (SI) (2001 Edition), Washington: US Government Printing Office, 43,”The 12th Conference Generale des Poids et Mesures (CGPM)…declares that the word “litre” may be employed as a special name for the cubic decimetre”.
- ^ CODATA Value: atomic unit of mass. (2010). National Institute of Standards and Technology. Retrieved 29 May 2015.
- ^ The Swiss Federal Office for Metrology gives Zentner on a German language web page “Metas: Masseinheiten – SI-Einheiten”. Archived from the original on 2006-09-28. Retrieved 2006-10-09. and quintal on the English translation of that page “OFMET: Units of measure – SI units”. Archived from the original on 2001-03-09. Retrieved 2006-10-09.; the unit is marked “spécifiquement suisse !”
- ^ Jump up to:a b Pedersen O. (1983). “Glossary” in Coyne, G., Hoskin, M., and Pedersen, O. Gregorian Reform of the Calendar: Proceedings of the Vatican Conference to Commemorate its 400th Anniversary. Vatican Observatory. Available from Astrophysics Data System.
- ^ Richards, E.G. (1998), Mapping Time, Oxford University Press, pp. 94–95, ISBN 0-19-850413-6
- ^ Steel, Duncan (2000), Marking Time, John Wiley & Sons, p. 46, ISBN 0-471-29827-1
- ^ “CODATA Value: Planck time”. physics.nist.gov. Retrieved 2018-06-20.
- ^ Jump up to:a b Richards, E. G. (2013). “Calendars” in S. E. Urban & P. K. Seidelmann, eds. Explanatory Supplement to the Astronomical Almanac. Mill Valley, CA: University Science Books.
- ^ Richards, E. G. (2013). “Calendars” in S. E. Urban & P. K. Seidelmann, eds. Explanatory Supplement to the Astronomical Almanac. Mill Valley, CA: University Science Books. p. 587.
- ^ Until 1970 the UK Admiralty (and until 1954 the US) used other definitions of the nautical mile and hence the knot. See also #Length
- ^ Tom Benson. (2010.) “Mach Number” Archived 2006-04-10 at the Wayback Machine in Beginner’s Guide to Aeronautics. NASA.
- ^ CODATA Value: atomic unit of force. (2006). National Institute of Standards and Technology. Retrieved September 14, 2008.
- ^ Jump up to:a b c d e f g h Comité International des Poids et Mesures, Resolution 2, 1946, retrieved August 26, 2009
- ^ Jump up to:a b c d e f g h i j k l m n o p Barry N. Taylor, (April 1995), Guide for the Use of the International System of Units (SI) (NIST Special Publication 811), Washington, DC: US Government Printing Office, pp. 57–68.
- ^ Barry N. Taylor, (April 1995), Guide for the Use of the International System of Units (SI) (NIST Special Publication 811), Washington, DC: US Government Printing Office, p. 5.
- ^ Jump up to:a b c d e f g “NIST Guide to SI Units, Appendix B.9”, Nist, 2 July 2009, retrieved August 27, 2009
- ^ International System of Units, Archived July 16, 2012, at the Wayback Machine 8th ed. (2006), Bureau International des Poids et Mesures, Section 4.1 Table 7.
- ^ Jump up to:a b c d “SI brochure (2019)” (PDF). SI Brochure. BIPM. p. 132. Retrieved May 23, 2019.
- ^ The NIST Reference on Constants, Units, and Uncertainty, 2006, retrieved August 26, 2009
- ^ Robert G. Mortimer Physical chemistry, Academic Press, 2000 ISBN 0-12-508345-9, page 677
- ^ Standard for the Use of the International System of Units (SI): The Modern Metric System IEEE/ASTM SI 10-1997. (1997). New York and West Conshohocken, PA: Institute of Electrical and Electronics Engineers and American Society for Testing and Materials. Tables A.1 through A.5.
- ^ “Mise en pratique” (PDF). BIPM.
- ^ The NIST Reference on Constants, Units, and Uncertainty, retrieved August 28, 2009
- ^ Ambler Thompson & Barry N. Taylor. (2008). Guide for the Use of the International System of Units (SI). Special Publication 811. Gaithersburg, MD: National Institute of Standards and Technology. p. 10.
- ^ Jump up to:a b The International System of Units, Section 2.2.2., Table 3 (8 ed.), Bureau International des Poids et Mesures, 2006, archived from the original on June 18, 2007, retrieved August 27, 2009
- ^ “The NIST Guide to the SI (Special Publication 811), section 5.2”, Nist, 2008, retrieved August 27, 2009
- ^ Ambler Thompson & Barry N. Taylor. (2008). Guide for the Use of the International System of Units (SI). Special Publication 811. Gaithersburg, MD: National Institute of Standards and Technology. p. 5.
- ^ Comité international des poids et mesures, 2002, Recommendation 2, retrieved August 27, 2009
Conversion of units
Conversion of units is the conversion of the unit of measurement in which a quantity is expressed, typically through a multiplicative conversion factor that changes the unit without changing the quantity. This is also often loosely taken to include replacement of a quantity with a corresponding quantity that describes the same physical property.
Unit conversion is often easier within a metric system such as the SI than in others, due to the system’s coherence and its metric prefixes that act as power-of-10 multipliers.
Overview
The definition and choice of units in which to express a quantity may depend on the specific situation and the intended purpose. This may be governed by regulation, contract, technical specifications or other published standards. Engineering judgment may include such factors as:
- the precision and accuracy of measurement and the associated uncertainty of measurement
- the statistical confidence interval or tolerance interval of the initial measurement
- the number of significant figures of the measurement
- the intended use of the measurement, including the engineering tolerances
- historical definitions of the units and their derivatives used in old measurements; e.g., international foot vs. US survey foot.
For some purposes, conversions from one system of units to another are needed to be exact, without increasing or decreasing the precision of the expressed quantity. An adaptive conversion may not produce an exactly equivalent expression. Nominal values are sometimes allowed and used.
Factor–label method
Further information: Dimensional analysis
The factor–label method, also known as the unit–factor method or the unity bracket method,[1] is a widely used technique for unit conversions that uses the rules of algebra.[2][3][4]
The factor–label method is the sequential application of conversion factors expressed as fractions and arranged so that any dimensional unit appearing in both the numerator and denominator of any of the fractions can be cancelled out until only the desired set of dimensional units is obtained. For example, 10 miles per hour can be converted to metres per second by using a sequence of conversion factors as shown below:
10 mi1 h×1609.344 m1 mi×1 h3600 s=4.4704 ms.
Each conversion factor is chosen based on the relationship between one of the original units and one of the desired units (or some intermediary unit), before being rearranged to create a factor that cancels out the original unit. For example, as “mile” is the numerator in the original fraction and 1 mi=1609.344 m, “mile” will need to be the denominator in the conversion factor. Dividing both sides of the equation by 1 mile yields 1 mi1 mi=1609.344 m1 mi, which when simplified results in the dimensionless 1=1609.344 m1 mi. Because of the identity property of multiplication, multiplying any quantity (physical or not) by the dimensionless 1 does not change that quantity.[5] Once this and the conversion factor for seconds per hour have been multiplied by the original fraction to cancel out the units mile and hour, 10 miles per hour converts to 4.4704 metres per second.
, “mile” will need to be the denominator in the conversion factor. Dividing both sides of the equation by 1 mile yields 1 mi1 mi=1609.344 m1 mi
, which when simplified results in the dimensionless 1=1609.344 m1 mi
. Because of the identity property of multiplication, multiplying any quantity (physical or not) by the dimensionless 1 does not change that quantity.As a more complex example, the concentration of nitrogen oxides (NOx) in the flue gas from an industrial furnace can be converted to a mass flow rate expressed in grams per hour (g/h) of NOx by using the following information as shown below:
- NOx concentration
- = 10 parts per million by volume = 10 ppmv = 10 volumes/106 volumes
- NOx molar mass
- = 46 kg/kmol = 46 g/mol
- Flow rate of flue gas
- = 20 cubic metres per minute = 20 m3/min
- The flue gas exits the furnace at 0 °C temperature and 101.325 kPa absolute pressure.
- The molar volume of a gas at 0 °C temperature and 101.325 kPa is 22.414 m3/kmol.
- 1000 g NO�1kg NO�×46 kg NO�1 kmol NO�×1 kmol NO�22.414 m3 NO�×10 m3 NO�106 m3 gas×20 m3 gas1 minute×60 minute1 hour=24.63 g NO�hour
After cancelling any dimensional units that appear both in the numerators and the denominators of the fractions in the above equation, the NOx concentration of 10 ppmv converts to mass flow rate of 24.63 grams per hour.
Checking equations that involve dimensions
The factor–label method can also be used on any mathematical equation to check whether or not the dimensional units on the left hand side of the equation are the same as the dimensional units on the right hand side of the equation. Having the same units on both sides of an equation does not ensure that the equation is correct, but having different units on the two sides (when expressed in terms of base units) of an equation implies that the equation is wrong.
For example, check the universal gas law equation of PV = nRT, when:
- the pressure P is in pascals (Pa)
- the volume V is in cubic metres (m3)
- the amount of substance n is in moles (mol)
- the universal gas constant R is 8.3145 Pa⋅m3/(mol⋅K)
- the temperature T is in kelvins (K)
Pa⋅m3=mol1×Pa⋅m3mol K×K1
As can be seen, when the dimensional units appearing in the numerator and denominator of the equation’s right hand side are cancelled out, both sides of the equation have the same dimensional units. Dimensional analysis can be used as a tool to construct equations that relate non-associated physico-chemical properties. The equations may reveal undiscovered or overlooked properties of matter, in the form of left-over dimensions – dimensional adjusters – that can then be assigned physical significance. It is important to point out that such ‘mathematical manipulation’ is neither without prior precedent, nor without considerable scientific significance. Indeed, the Planck constant, a fundamental physical constant, was ‘discovered’ as a purely mathematical abstraction or representation that built on the Rayleigh–Jeans law for preventing the ultraviolet catastrophe. It was assigned and ascended to its quantum physical significance either in tandem or post mathematical dimensional adjustment – not earlier.
Limitations
The factor–label method can convert only unit quantities for which the units are in a linear relationship intersecting at 0 (ratio scale in Stevens’s typology). Most conversions fit this paradigm. An example for which it cannot be used is the conversion between the Celsius scale and the Kelvin scale (or the Fahrenheit scale). Between degrees Celsius and kelvins, there is a constant difference rather than a constant ratio, while between degrees Celsius and degrees Fahrenheit there is neither a constant difference nor a constant ratio. There is, however, an affine transform (�↦��+�, rather than a linear transform �↦��) between them.
, rather than a 
) between them.For example, the freezing point of water is 0 °C and 32 °F, and a 5 °C change is the same as a 9 °F change. Thus, to convert from units of Fahrenheit to units of Celsius, one subtracts 32 °F (the offset from the point of reference), divides by 9 °F and multiplies by 5 °C (scales by the ratio of units), and adds 0 °C (the offset from the point of reference). Reversing this yields the formula for obtaining a quantity in units of Celsius from units of Fahrenheit; one could have started with the equivalence between 100 °C and 212 °F, which yields the same formula.
Hence, to convert the numerical quantity value of a temperature T[F] in degrees Fahrenheit to a numerical quantity value T[C] in degrees Celsius, this formula may be used:
- T[C] = (T[F] − 32) × 5/9.
To convert T[C] in degrees Celsius to T[F] in degrees Fahrenheit, this formula may be used:
- T[F] = (T[C] × 9/5) + 32.
Example
Starting with:
- �=��×[�]�
![{\displaystyle Z=n_{i}\times [Z]_{i}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9382a912ccadecfbe407dd9d2feec9b83febe4c0)
replace the original unit [�]� with its meaning in terms of the desired unit [�]�, e.g. if [�]�=���×[�]�, then:
![{\displaystyle [Z]_{i}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4c2e8f9c6283ef4fd7440576f12b3a002e33cc77)
with its meaning in terms of the desired unit [�]�![{\displaystyle [Z]_{j}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/847ac5e13a07a2784aec0cd0f809a2853097580a)
, e.g. if [�]�=���×[�]�![{\displaystyle [Z]_{i}=c_{ij}\times [Z]_{j}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d39d68c50a6f4eda1abeacd4a2a60c4f001cd19c)
, then:- �=��×(���×[�]�)=(��×���)×[�]�
![{\displaystyle Z=n_{i}\times (c_{ij}\times [Z]_{j})=(n_{i}\times c_{ij})\times [Z]_{j}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/dd906cc1b06feb5974f2df92ddbad412489f41ae)
Now �� and ��� are both numerical values, so just calculate their product.
and ���
are both numerical values, so just calculate their product.Or, which is just mathematically the same thing, multiply Z by unity, the product is still Z:
- �=��×[�]�×(���×[�]�/[�]�)
![{\displaystyle Z=n_{i}\times [Z]_{i}\times (c_{ij}\times [Z]_{j}/[Z]_{i})}](https://wikimedia.org/api/rest_v1/media/math/render/svg/8f15189d031793d2d77b3a9337e805c69f3ca8f8)
For example, you have an expression for a physical value Z involving the unit feet per second ([�]�) and you want it in terms of the unit miles per hour ([�]�):
- Find facts relating the original unit to the desired unit:
- 1 mile = 5280 feet and 1 hour = 3600 seconds
- Next use the above equations to construct a fraction that has a value of unity and that contains units such that, when it is multiplied with the original physical value, will cancel the original units:1=1mi5280ftand1=3600s1h
- Last, multiply the original expression of the physical value by the fraction, called a conversion factor, to obtain the same physical value expressed in terms of a different unit. Note: since valid conversion factors are dimensionless and have a numerical value of one, multiplying any physical quantity by such a conversion factor (which is 1) does not change that physical quantity.52.8fts=52.8fts1mi5280ft3600s1h=52.8×36005280mi/h=36mi/h
Or as an example using the metric system, you have a value of fuel economy in the unit litres per 100 kilometres and you want it in terms of the unit microlitres per metre:
- 9L100km=9L100km1000000�L1L1km1000m=9×1000000100×1000�L/m=90�L/m
Calculation involving non-SI Units
In the cases where non-SI units are used, the numerical calculation of a formula can be done by first working out the factor, and then plug in the numerical values of the given/known quantities.
For example, in the study of Bose–Einstein condensate,[6] atomic mass m is usually given in daltons, instead of kilograms, and chemical potential μ is often given in the Boltzmann constant times nanokelvin. The condensate’s healing length is given by:
�=ℏ2��.
For a 23Na condensate with chemical potential of (the Boltzmann constant times) 128 nK, the calculation of healing length (in micrometres) can be done in two steps:
Calculate the factor
Assume that �=1Da,�=�B⋅1nK, this gives
, this gives�=ℏ2��=15.574�m,
which is our factor.
Calculate the numbers
Now, make use of the fact that �∝1��. With �=23Da,�=128�B⋅nK, �=15.57423⋅128μm=0.287μm.
. With �=23Da,�=128�B⋅nK
, �=15.57423⋅128μm=0.287μm
.This method is especially useful for programming and/or making a worksheet, where input quantities are taking multiple different values; For example, with the factor calculated above, it is very easy to see that the healing length of 174Yb with chemical potential 20.3 nK is �=15.574174⋅20.3μm=0.262μm.
.Software tools
There are many conversion tools. They are found in the function libraries of applications such as spreadsheets databases, in calculators, and in macro packages and plugins for many other applications such as the mathematical, scientific and technical applications.
There are many standalone applications that offer the thousands of the various units with conversions. For example, the free software movement offers a command line utility GNU units for Linux and Windows. The Unified Code for Units of Measure is also a popular option.
See also
Notes and references[edit]
- ^ Béla Bodó; Colin Jones (26 June 2013). Introduction to Soil Mechanics. John Wiley & Sons. pp. 9–. ISBN 978-1-118-55388-6.
- ^ Goldberg, David (2006). Fundamentals of Chemistry (5th ed.). McGraw-Hill. ISBN 978-0-07-322104-5.
- ^ Ogden, James (1999). The Handbook of Chemical Engineering. Research & Education Association. ISBN 978-0-87891-982-6.
- ^ “Dimensional Analysis or the Factor Label Method”. Mr Kent’s Chemistry Page.
- ^ “Identity property of multiplication”. Retrieved 2015-09-09.
- ^ Foot, C. J. (2005). Atomic physics. Oxford University Press. ISBN 978-0-19-850695-9.
- Notes
External links[edit]
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Wikibooks has a book on the topic of: FHSST Physics Units:How to Change Units
Wikivoyage has a travel guide for Metric and Imperial equivalents.
- Statutory Instrument 1995 No. 1804 Units of measurement regulations 1995 From legislation.gov.uk
- “NIST: Fundamental physical constants – Non-SI units” (PDF). Archived from the original (PDF) on 2016-12-27. Retrieved 2004-03-15.
- NIST Guide to SI Units Many conversion factors listed.
- The Unified Code for Units of Measure
- Units, Symbols, and Conversions XML Dictionary Archived 2023-05-02 at the Wayback Machine
- Units of Measurement Software at Curlie
- Units of Measurement Online Conversion at Curlie
- “Instruction sur les poids et mesures républicaines – déduites de la grandeur de la terre, uniformes pour toute la République, et sur les calculs relatifs à leur division décimale” (in French)
- Unicalc Live web calculator doing units conversion by dimensional analysis
- Math Skills Review
- A Discussion of Units
- Short Guide to Unit Conversions
- Canceling Units Lesson
- Chapter 11: Behavior of Gases Chemistry: Concepts and Applications, Denton independent school District
- Air Dispersion Modeling Conversions and Formulas
- www.gnu.org/software/units free program, very practical
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