Conversion Factors

Length
m cm km
1 meter 1 102 10−3
1 centimeter 10−2 1 10−5
1 kilometer 103 105 1
1 inch

    \[2.540\,×\,{10}^{-2}\]

2.540

    \[2.540\,×\,{10}^{-5}\]

1 foot 0.3048 30.48

    \[3.048\,×\,{10}^{-4}\]

1 mile 1609

    \[1.609\,×\,{10}^{4}\]

1.609
1 angstrom 10−10
1 fermi 10−15
1 light-year

    \[9.460\,×\,{10}^{12}\]

in. ft mi
1 meter 39.37 3.281

    \[6.214\,×\,{10}^{-4}\]

1 centimeter 0.3937

    \[3.281\,×\,{10}^{-2}\]

    \[6.214\,×\,{10}^{-6}\]

1 kilometer

    \[3.937\,×\,{10}^{4}\]

    \[3.281\,×\,{10}^{3}\]

0.6214
1 inch 1

    \[8.333\,×\,{10}^{-2}\]

    \[1.578\,×\,{10}^{-5}\]

1 foot 12 1

    \[1.894\,×\,{10}^{-4}\]

1 mile

    \[6.336\,×\,{10}^{4}\]

5280 1

Area

    \[1\,{\text{cm}}^{2}=0.155\,{\text{in.}}^{2}\]

    \[1\,{\text{m}}^{2}={10}^{4}\,{\text{cm}}^{2}=10.76\,{\text{ft}}^{2}\]

    \[1\,{\text{in.}}^{2}=6.452\,{\text{cm}}^{2}\]

    \[1\,{\text{ft}}^{2}=144\,{\text{in.}}^{2}=0.0929\,{\text{m}}^{2}\]

Volume

    \[1\,\text{liter}=1000\,{\text{cm}}^{3}={10}^{-3}\,{\text{m}}^{3}=0.03531\,{\text{ft}}^{3}=61.02\,{\text{in.}}^{3}\]

    \[1\,{\text{ft}}^{3}=0.02832\,{\text{m}}^{3}=28.32\,\text{liters}=7.477\,\text{gallons}\]

    \[1\,\text{gallon}=3.788\,\text{liters}\]

Time
s min h day yr
1 second 1

    \[1.667\,×\,{10}^{-2}\]

    \[2.778\,×\,{10}^{-4}\]

    \[1.157\,×\,{10}^{-5}\]

    \[3.169\,×\,{10}^{-8}\]

1 minute 60 1

    \[1.667\,×\,{10}^{-2}\]

    \[6.944\,×\,{10}^{-4}\]

    \[1.901\,×\,{10}^{-6}\]

1 hour 3600 60 1

    \[4.167\,×\,{10}^{-2}\]

    \[1.141\,×\,{10}^{-4}\]

1 day

    \[8.640\,×\,{10}^{4}\]

1440 24 1

    \[2.738\,×\,{10}^{-3}\]

1 year

    \[3.156\,×\,{10}^{7}\]

    \[5.259\,×\,{10}^{5}\]

    \[8.766\,×\,{10}^{3}\]

365.25 1
Speed
m/s cm/s ft/s mi/h
1 meter/second 1 102 3.281 2.237
1 centimeter/second 10−2 1

    \[3.281\,×\,{10}^{-2}\]

    \[2.237\,×\,{10}^{-2}\]

1 foot/second 0.3048 30.48 1 0.6818
1 mile/hour 0.4470 44.70 1.467 1

Acceleration

    \[1\,{\text{m/s}}^{2}=100\,{\text{cm/s}}^{2}=3.281\,{\text{ft/s}}^{2}\]

    \[1\,{\text{cm/s}}^{2}=0.01\,{\text{m/s}}^{2}=0.03281\,{\text{ft/s}}^{2}\]

    \[1\,{\text{ft/s}}^{2}=0.3048\,{\text{m/s}}^{2}=30.48\,{\text{cm/s}}^{2}\]

    \[1\,\text{mi/h}·\text{s}=1.467\,{\text{ft/s}}^{2}\]

Mass
kg g slug u
1 kilogram 1 103

    \[6.852\,×\,{10}^{-2}\]

    \[6.024\,×\,{10}^{26}\]

1 gram 10−3 1

    \[6.852\,×\,{10}^{-5}\]

    \[6.024\,×\,{10}^{23}\]

1 slug 14.59

    \[1.459\,×\,{10}^{4}\]

1

    \[8.789\,×\,{10}^{27}\]

1 atomic mass unit

    \[1.661\,×\,{10}^{-27}\]

    \[1.661\,×\,{10}^{-24}\]

    \[1.138\,×\,{10}^{-28}\]

1
1 metric ton 1000
Force
N dyne lb

    \[1\]

newton

1 105 0.2248

    \[1\]

dyne

10−5 1

    \[2.248\,×\,{10}^{-6}\]

    \[1\]

pound

4.448

    \[4.448\,×\,{10}^{5}\]

1
Pressure
Pa dyne/cm2 atm cmHg lb/in.2
*Where the acceleration due to gravity is

    \[9.80665\,{\text{m/s}}^{2}\]

and the temperature is

    \[0\text{°}\text{C}\]

1 pascal 1 10

    \[9.869\,×\,{10}^{-6}\]

    \[7.501\,×\,{10}^{-4}\]

    \[1.450\,×\,{10}^{-4}\]

1 dyne/centimeter2 10−1 1

    \[9.869\,×\,{10}^{-7}\]

    \[7.501\,×\,{10}^{-5}\]

    \[1.450\,×\,{10}^{-5}\]

1 atmosphere

    \[1.013\,×\,{10}^{5}\]

    \[1.013\,×\,{10}^{6}\]

1 76 14.70
1 centimeter mercury*

    \[1.333\,×\,{10}^{3}\]

    \[1.333\,×\,{10}^{4}\]

    \[1.316\,×\,{10}^{-2}\]

1 0.1934
1 pound/inch2

    \[6.895\,×\,{10}^{3}\]

    \[6.895\,×\,{10}^{4}\]

    \[6.805\,×\,{10}^{-2}\]

5.171 1
1 bar 105
1 torr 1 (mmHg)
Work, Energy, Heat
J erg ft.lb
1 joule 1 107 0.7376
1 erg 10−7 1

    \[7.376\,×\,{10}^{-8}\]

1 foot-pound 1.356

    \[1.356\,×\,{10}^{7}\]

1
1 electron-volt

    \[1.602\,×\,{10}^{-19}\]

    \[1.602\,×\,{10}^{\text{-12}}\]

    \[1.182\,×\,{10}^{-19}\]

1 calorie 4.186

    \[4.186\,×\,{10}^{7}\]

3.088
1 British thermal unit

    \[1.055\,×\,{10}^{3}\]

    \[1.055\,×\,{10}^{10}\]

    \[7.779\,×\,{10}^{2}\]

1 kilowatt-hour

    \[3.600\,×\,{10}^{6}\]

eV cal Btu
1 joule

    \[6.242\,×\,{10}^{18}\]

0.2389

    \[9.481\,×\,{10}^{-4}\]

1 erg

    \[6.242\,×\,{10}^{11}\]

    \[2.389\,×\,{10}^{-8}\]

    \[9.481\,×\,{10}^{-11}\]

1 foot-pound

    \[8.464\,×\,{10}^{18}\]

0.3239

    \[1.285\,×\,{10}^{-3}\]

1 electron-volt 1

    \[3.827\,×\,{10}^{-20}\]

    \[1.519\,×\,{10}^{-22}\]

1 calorie

    \[2.613\,×\,{10}^{19}\]

1

    \[3.968\,×\,{10}^{-3}\]

1 British thermal unit

    \[6.585\,×\,{10}^{21}\]

    \[2.520\,×\,{10}^{2}\]

1

Power

    \[1\,\text{W}=1\,\text{J/s}\]

    \[1\,\text{hp}=746\,\text{W}=550\,\text{ft}·\text{lb/s}\]

    \[1\,\text{Btu/h}=0.293\,\text{W}\]

Angle

    \[1\,\text{rad}=57.30\text{°}=180\text{°}\text{/}\text{π}\]

    \[1\text{°}=0.01745\,\text{rad}=\text{π}\text{/}180\,\text{rad}\]

    \[1\,\text{revolution}=360\text{°}=2\text{π}\,\text{rad}\]

    \[1\,\text{rev/min}(\text{rpm})=0.1047\,\text{rad/s}\]

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University Physics Volume 1 by OpenStax is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

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