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 acceleration due to 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 = 10-10 m

Exact definition

OneLightYearEqualsMeters

9460730472580800

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

Exact definition

OneAstronomicalUnitEqualsMeters

149597870700

1 AU = 149,597,870,700 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

10^28

1 m2 = 1028 barn (1 barn = 10-28 m2)

Exact definition

OneStremmaEqualsSquareMeters

1000

1 stremma = 1000 m2

Exact definition

OneSqMileEqualsAcres

640

1 square mile = 640 acres

Exact definition

 

MASS (and FORCE)

Variable

Value

Meaning

Notes

OneLbmEqualsKg

0.45359237

1 lbm (avoirdupois) = 0.45359237 kg

Exact definition

OneGrainEqualsmg

64.79891

1 grain = 64.79891 milligrams

Exact definition

OneTroyOunceEqualskg

0.0311034768

1 troy ounce (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 (avoirdupois) = 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

Conventional civil 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

Calendar definition

OneDecadeEqualsYears

10

1 decade = 10 years

Conventional definition

OneCenturyEqualsYears

100

1 century = 100 years

Conventional definition

 

VOLUME

Variable

Value

Meaning

Notes

OneImperialGallonEqualsLitres

4.54609

1 imperial gallon = 4.54609 litres

Exact definition, by UK law

OneUSGallonEqualsCubicInches

231

1 US gallon = 231 cubic inches

Exact definition, by US NIST standards

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 = 299,792,458 m/s

Exact definition

According to the 1983 definition and the 2019 revision 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

Conventional value

OneStandardAtmosphereEqualsPascal

101325

1 standard atmosphere = 101,325 Pa

Exact definition

OneAtmosphereEqualsTorr

760

1 standard atmosphere = 760 Torr

Exact definition

 

COMPUTER

Variable

Value

Meaning

Notes

OneByteEqualsBits

8

1 byte = 8 bits

Exact definition

 

ENERGY

Variable

Value

Meaning

Notes

OneFoeEqualsJoules

10^44

1 foe = 1044 J

Exact definition

OneThermEqualsBTU

10^5

1 therm = 100,000 BTU

Exact definition for US therm, defined by US standards.

OneCalTHEqualsJoules

4.184

1 thermochemical calorie = 4.1840 J

Exact definition, set in 1956.

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

This is not an exact definition but an experimentally determined value.

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

10^9

1 ton TNT ≈ 109 thermochemical calories

Common approximation used in physics and engineering. Not an exact physical constant.

OneBTUITEqualsJoules

OneLbmEqualsKg * 1000 * 5 / 9 * OneCalITEqualsJoules = 1055.05585262

1 BTU(IT) = 1055.05585262 J

Based on the International Table calorie (1956), defined as 4.1868 J. This is the standard BTU used in engineering.

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

Conventional value, not exact.

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

Conventional value, not exact.

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 (2019)

According to the 2019 revision of the SI base units.

Notes:

A calorie is a unit of energy originally defined as the amount of heat required to raise the temperature of one gram of water by one degree Celsius. The exact amount of heat needed depends on the atmospheric pressure and, most importantly, on the starting temperature of the water, because the heat capacity of water varies with temperature. As a result, several different definitions of the calorie have been used over time, each based on slightly different reference conditions. Due to this variation, the exact conversion between calories and joules has changed historically. In modern thermochemistry and nutrition, the accepted standard is the thermochemical calorie, which is defined to be exactly 4.184 J.

A British Thermal Unit (BTU) was originally defined as the amount of heat required to raise the temperature of one avoirdupois pound of liquid water by one degree Fahrenheit at a pressure of one atmosphere. As with the calorie, the heat required depends slightly on the initial temperature of the water, which has led to several different BTU definitions. These definitions differ by up to about 0.5 percent. The variations arise from using different reference temperatures for water, such as 39 °F, 59 °F, the mean interval from 32 °F to 212 °F, or other standardized reference points. The most widely used definition today is the International Table BTU (BTU(IT)), which is based on the International Table calorie. 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

Classical Watt definition

OneHorsepowerMetricPSEquals_kgfm_per_s

75

1 Metric horsepower = 75 kgf·m/s

DIN exact definition

OneHorsepowerElectricalEquals_Watt

746

1 Electrical horsepower = 746 W

Exact value used in electrical engineering

 

TEMPERATURE

Unit (symbol)

Definition

Celsius (°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