Definitions, assumptions and values of standard variables

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All conversions are based on the definitions, assumptions and the values of standard variables presented below.

 

GENERAL

Variable

Value

Meaning

Notes

StandardGravity

9.80665

Standard Gravity is 9.80665 m/s2

Exact definition

 

LENGTH

Variable

Value

Meaning

Notes

OneFootEqualsInches

12

1 ft = 12 in

Exact definition

OneInchEqualsMeters

0.0254

1 in = 0.0254 m

Exact definition

OneYardEqualsMeters

0.9144

1 yard = 91.44 cm

Exact definition

OneLandMileEqualsYards

1760

1 land mile = 1760 yards

Exact definition

OneNauticalMileEqualsMeters

1852

1 nautical mile = 1852 m

Exact definition

OneAngstromEqualsMeters

0.0000000001

1 angstrom = 1010 m

Exact definition

OneLightYearEqualsMeters

9460730472580800

1 light-year = 9,460,730,472,580,800 m

Exact definition

OneAstronomicalUnitEqualsMeters

149597870700

1 AU = 149597870700 m

Exact definition

OneFathomEqualsFeet

6

1 fathom = 6 feet

Exact definition

OneChainEqualsFeet

66

1 chain (ch) = 66 feet

Exact definition

OneParsecEqualsAU

648000 / π

1 parsec = 648000/π Astronomical Units

Exact definition

 

AREA

Variable

Value

Meaning

Notes

OneSquareMetreEqualsBarns

1028

1 barn = 10-28 m2

Exact definition

OneStremmaEqualsSquareMeters

1000

1 stremma = 1000 m2

Exact definition

OneSqMileEqualsAcres

640

1 acre = 1/640 sq. mile

Exact definition

 

MASS and FORCE

Variable

Value

Meaning

Notes

OneLbmEqualsKg

0.45359237

1 lbm = 0.45359237 kg

Exact definition

OneGrainEqualsmg

64.79891

1 grain = 64.79891 milligrams

Exact definition

OneTroyOunceEqualskg

0.0311034768

1 ozt = 0.0311034768 kg

Exact definition

OneLongTonEqualsGrams

1016046.9088

1 long ton = 1,016,046.9088 grams

Exact definition

OneShortTonEqualsLbm

2000

1 short ton = 2000 lbm

Exact definition

OneOunceEqualsGram

28.349523125

1 ounce = 28.349523125 g

Exact definition

OnePennyweightEqualsGrains

24

1  pennyweight = 24 grains

Exact definition

 

TIME

Variable

Value

Meaning

Notes

OneMinuteEqualsSeconds

60

1 min = 60 s

Exact definition

OneHourEqualsMinutes

60

1 hour = 60 min

Exact definition

OneDayEqualsHours

24

1 day = 24 h

Exact definition

OneWeekEqualsDays

7

1 week = 7 days

Exact definition

OneJulianYearEqualsDays

365.25

1 Julian year = 365.25 days

Exact definition

OneCommonYearEqualsDays

365

1 Common year = 365 days

Exact definition

OneDecadeEqualsYears

10

1 decade = 10 years

Exact definition

OneCenturyEqualsYears

100

1 century = 100 years

Exact definition

 

VOLUME

Variable

Value

Meaning

Notes

OneImperialGallonEqualsLitres

4.54609

1 imperial gallon = 4.54609 litres

Exact definition

OneUSGallonEqualsCubicInches

231

1 US gallon = 231 cubic inches

Exact definition

OneImperialPintEqualsImperialFluidOunces

20

1 imperial pint = 20 imperial fluid ounces

Exact definition

OneUSPintEqualsUSFluidOunces

16

1 US pint = 16 US fluid ounces

Exact definition

OneGallonEqualsPints

8

1 gallon = 8 pints *

Exact definition

OneGallonEqualsQuarts

4

1 gallon = 4 quarts *

Exact definition

OneFluidOunceEqualsMinims

480

1 fluid ounce = 480 minims *

Exact definition

OneFluidOunceEqualsFluidDrams

8

1 fluid ounce = 8 fluid drams *

Exact definition

OneTroyPoundEqualsTroyOunces

12

1 troy pound = 12 troy ounces

Exact definition

* Applies to both imperial and US units (gallon, pint, quart, fluid ounce, minim, etc).

 

SPEED

Variable

Value

Meaning

Notes

SpeedOfLightInMeterPerSecond

299792458

c = 299792458 m/s

Exact definition

According to the 2006 version of the SI manual and the 2019 redefinition of the SI base units

 

PRESSURE

Variable

Value

Meaning

Notes

OneBarEqualsPascal

100000

1 bar = 100000 Pa

Exact definition

OnemmHgEqualsPascal

133.322387415

1 mm of mercury = 133.322387415 Pa

Exact definition

OneStandardAtmosphereEqualsPascal

101325

1 standard atmosphere = 101325 Pa

Exact definition

OneAtmosphereEqualsTorr

760

1 Torr = 1/760 standard atmosphere

Exact definition

 

COMPUTER

Variable

Value

Meaning

Notes

OneByteEqualsBits

8

1 byte = 8 bits

Exact definition

 

ENERGY

Variable

Value

Meaning

Notes

OneFoeEqualsJoules

1044

1 foe = 1044 J

Exact definition

OneThermEqualsBTU

105

1 therm = 100,000 BTU

Exact definition

OneCalTHEqualsJoules

4.184

1 thermochemical calorie = 4.184 J

Exact definition

OneCalITEqualsJoules

4.1868

1 Int. Steam Table calorie (1956) = 4.1868 J

Exact definition

The Fifth International Conference on the Properties of Steam (London, July 1956) defined the International Table calorie as 4.1868 J

OneCal15EqualsJoules

4.1855

One 15 °C calorie ≈ 4.1855 J

The amount of energy required to warm one gram of air-free water from 14.5 to 15.5 °C at standard atmospheric pressure. Experimental values of this calorie ranged from 4.1852 to 4.1858 J. The CIPM in 1950 (Comité international des poids et mesures (International Committee for Weights and Measures) 1950; PV, 1950, 22, 79–80) published a mean experimental value of 4.1855 J, noting an uncertainty of 0.0005 J.

OneTonOfTNTEqualsCaloriesTH

109

1 ton TNT ≈ 109 thermochemical calories

Can be considered an approximate definition

OneBTUITEqualsJoules

OneLbmEqualsKg * 1000 * 5 / 9 * OneCalITEqualsJoules = 1055.05585262

1 BTU(IT) = 1055.05585262 J

The most widespread BTU uses the International Steam Table (IT) calorie, which was defined by the Fifth International Conference on the Properties of Steam (London, July 1956) to be exactly 4.1868 J. Therefore, the exact conversion factor for the International Table Btu is 1055.05585262 J, as shown in the calculation.

OneBTUTHEqualsJoules

OneLbmEqualsKg * 1000 * 5 / 9 * OneCalTHEqualsJoules = 9489.1523804 / 9 1054.350264488889

1 BTU(TH) = 9489.1523804 / 9 J ≈ 1054.350264488889 J

It is based on the definition of the thermochemical calorie, which is equal to 4.184 J. The calculation is similar to the one for the IT case.

OneBTU59FEqualsJoules

1054.804

1 BTU(59) = 1054.804

59 °F (15 °C) is the most widely used reference temperature for BTU definition in the US.

Different values can be found in the literature. This value is the one most commonly used. See:

https://en.wikipedia.org/wiki/British_thermal_unit (reporting 1054.80 J)

https://physics.nist.gov/cuu/pdf/sp811.pdf (reporting 1054.80 J)

 

ElementaryCharge

1.602176634×10-19

1 electronvolt = 1.602176634×10-19 J

Exact definition

According to the 2019 redefinition of the SI base units

Notes:

A calorie is a unit of energy which was defined as the amount of heat needed to raise the temperature of one gram of water by one degree Celsius. The amount depends on the atmospheric pressure and the starting temperature, and different choices of these parameters have resulted in several different definitions of the unit, as the temperature response of water to heat energy is non-linear (the change in temperature of a water mass caused by adding a certain amount of heat to it will be a function of the water's initial temperature). Therefore, the precise equivalence between calories and joules has varied over the years, but in thermochemistry and nutrition it is now generally assumed that one thermochemical calorie is equal to exactly 4.184 J.

A BTU was originally defined as the amount of heat required to raise the temperature of 1 avoirdupois pound of liquid water by 1 degree Fahrenheit at a constant pressure of one atmospheric unit. There are several different definitions of the BTU that differ slightly. This reflects the fact that the temperature change of a mass of water due to the addition of a specific amount of heat (calculated in energy units, usually joules) depends slightly upon the water's initial temperature. Definitions of the BTU based on different water temperatures vary by up to 0.5%. Source: https://en.wikipedia.org/wiki/British_thermal_unit

 

POWER

Variable

Value

Meaning

Notes

OneHorsepowerMechanicalHPEquals_ftlbf_per_min

33000

1 Mechanical horsepower = 33,000 ft·lbf/min

Exact definition

OneHorsepowerMetricPSEquals_kgfm_per_s

75

1 Metric horsepower = 75 kgf·m/s

Exact definition

OneHorsepowerElectricalEquals_Watt

746

1 Electrical horsepower = 746 W

Exact definition

 

TEMPERATURE

Unit (symbol)

Definition

Celcius (°C)

-

Fahrenheit (°F)

[°F] = [°C] × 9/5 + 32

Kelvin (K)

[K] = [°C] + 273.15

Rankine (°R)

[°R] = ([°C] + 273.15) × 9/5

Delisle (°D)

[°De] = (100 - [°C]) × 3/2

Newton (°N)

[°N] = [°C] × 33/100

Réaumur (°Ré)

[°Ré] = [°C] × 4/5

Rømer (°Rø)

[°Rø] = [°C] × 21/40 + 7.5