# 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 $2.540\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}$ 2.540 $2.540\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-5}$
1 foot 0.3048 30.48 $3.048\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}$
1 mile 1609 $1.609\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{4}$ 1.609
1 angstrom 10−10
1 fermi 10−15
1 light-year $9.460\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{12}$
in. ft mi
1 meter 39.37 3.281 $6.214\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}$
1 centimeter 0.3937 $3.281\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}$ $6.214\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-6}$
1 kilometer $3.937\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{4}$ $3.281\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{3}$ 0.6214
1 inch 1 $8.333\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}$ $1.578\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-5}$
1 foot 12 1 $1.894\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}$
1 mile $6.336\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{4}$ 5280 1

Area

$1\phantom{\rule{0.2em}{0ex}}{\text{cm}}^{2}=0.155\phantom{\rule{0.2em}{0ex}}{\text{in.}}^{2}$

$1\phantom{\rule{0.2em}{0ex}}{\text{m}}^{2}={10}^{4}\phantom{\rule{0.2em}{0ex}}{\text{cm}}^{2}=10.76\phantom{\rule{0.2em}{0ex}}{\text{ft}}^{2}$

$1\phantom{\rule{0.2em}{0ex}}{\text{in.}}^{2}=6.452\phantom{\rule{0.2em}{0ex}}{\text{cm}}^{2}$

$1\phantom{\rule{0.2em}{0ex}}{\text{ft}}^{2}=144\phantom{\rule{0.2em}{0ex}}{\text{in.}}^{2}=0.0929\phantom{\rule{0.2em}{0ex}}{\text{m}}^{2}$

Volume

$1\phantom{\rule{0.2em}{0ex}}\text{liter}=1000\phantom{\rule{0.2em}{0ex}}{\text{cm}}^{3}={10}^{-3}\phantom{\rule{0.2em}{0ex}}{\text{m}}^{3}=0.03531\phantom{\rule{0.2em}{0ex}}{\text{ft}}^{3}=61.02\phantom{\rule{0.2em}{0ex}}{\text{in.}}^{3}$

$1\phantom{\rule{0.2em}{0ex}}{\text{ft}}^{3}=0.02832\phantom{\rule{0.2em}{0ex}}{\text{m}}^{3}=28.32\phantom{\rule{0.2em}{0ex}}\text{liters}=7.477\phantom{\rule{0.2em}{0ex}}\text{gallons}$

$1\phantom{\rule{0.2em}{0ex}}\text{gallon}=3.788\phantom{\rule{0.2em}{0ex}}\text{liters}$

Time
s min h day yr
1 second 1 $1.667\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}$ $2.778\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}$ $1.157\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-5}$ $3.169\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-8}$
1 minute 60 1 $1.667\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}$ $6.944\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}$ $1.901\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-6}$
1 hour 3600 60 1 $4.167\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}$ $1.141\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}$
1 day $8.640\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{4}$ 1440 24 1 $2.738\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-3}$
1 year $3.156\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{7}$ $5.259\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{5}$ $8.766\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{3}$ 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 $3.281\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}$ $2.237\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}$
1 foot/second 0.3048 30.48 1 0.6818
1 mile/hour 0.4470 44.70 1.467 1

Acceleration

$1\phantom{\rule{0.2em}{0ex}}{\text{m/s}}^{2}=100\phantom{\rule{0.2em}{0ex}}{\text{cm/s}}^{2}=3.281\phantom{\rule{0.2em}{0ex}}{\text{ft/s}}^{2}$

$1\phantom{\rule{0.2em}{0ex}}{\text{cm/s}}^{2}=0.01\phantom{\rule{0.2em}{0ex}}{\text{m/s}}^{2}=0.03281\phantom{\rule{0.2em}{0ex}}{\text{ft/s}}^{2}$

$1\phantom{\rule{0.2em}{0ex}}{\text{ft/s}}^{2}=0.3048\phantom{\rule{0.2em}{0ex}}{\text{m/s}}^{2}=30.48\phantom{\rule{0.2em}{0ex}}{\text{cm/s}}^{2}$

$1\phantom{\rule{0.2em}{0ex}}\text{mi/h}·\text{s}=1.467\phantom{\rule{0.2em}{0ex}}{\text{ft/s}}^{2}$

Mass
kg g slug u
1 kilogram 1 103 $6.852\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}$ $6.024\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{26}$
1 gram 10−3 1 $6.852\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-5}$ $6.024\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{23}$
1 slug 14.59 $1.459\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{4}$ 1 $8.789\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{27}$
1 atomic mass unit $1.661\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-27}$ $1.661\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-24}$ $1.138\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-28}$ 1
1 metric ton 1000
Force
N dyne lb
$1$ newton 1 105 0.2248
$1$ dyne 10−5 1 $2.248\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-6}$
$1$ pound 4.448 $4.448\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{5}$ 1
Pressure
Pa dyne/cm2 atm cmHg lb/in.2
*Where the acceleration due to gravity is $9.80665\phantom{\rule{0.2em}{0ex}}{\text{m/s}}^{2}$ and the temperature is $0\text{°}\text{C}$
1 pascal 1 10 $9.869\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-6}$ $7.501\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}$ $1.450\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}$
1 dyne/centimeter2 10−1 1 $9.869\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-7}$ $7.501\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-5}$ $1.450\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-5}$
1 atmosphere $1.013\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{5}$ $1.013\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{6}$ 1 76 14.70
1 centimeter mercury* $1.333\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{3}$ $1.333\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{4}$ $1.316\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}$ 1 0.1934
1 pound/inch2 $6.895\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{3}$ $6.895\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{4}$ $6.805\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-2}$ 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 $7.376\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-8}$
1 foot-pound 1.356 $1.356\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{7}$ 1
1 electron-volt $1.602\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-19}$ $1.602\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{\text{-12}}$ $1.182\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-19}$
1 calorie 4.186 $4.186\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{7}$ 3.088
1 British thermal unit $1.055\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{3}$ $1.055\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{10}$ $7.779\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{2}$
1 kilowatt-hour $3.600\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{6}$
eV cal Btu
1 joule $6.242\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{18}$ 0.2389 $9.481\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}$
1 erg $6.242\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{11}$ $2.389\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-8}$ $9.481\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-11}$
1 foot-pound $8.464\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{18}$ 0.3239 $1.285\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-3}$
1 electron-volt 1 $3.827\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-20}$ $1.519\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-22}$
1 calorie $2.613\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{19}$ 1 $3.968\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-3}$
1 British thermal unit $6.585\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{21}$ $2.520\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{2}$ 1

Power

$1\phantom{\rule{0.2em}{0ex}}\text{W}=1\phantom{\rule{0.2em}{0ex}}\text{J/s}$

$1\phantom{\rule{0.2em}{0ex}}\text{hp}=746\phantom{\rule{0.2em}{0ex}}\text{W}=550\phantom{\rule{0.2em}{0ex}}\text{ft}·\text{lb/s}$

$1\phantom{\rule{0.2em}{0ex}}\text{Btu/h}=0.293\phantom{\rule{0.2em}{0ex}}\text{W}$

Angle

$1\phantom{\rule{0.2em}{0ex}}\text{rad}=57.30\text{°}=180\text{°}\text{/}\text{π}$

$1\text{°}=0.01745\phantom{\rule{0.2em}{0ex}}\text{rad}=\text{π}\text{/}180\phantom{\rule{0.2em}{0ex}}\text{rad}$

$1\phantom{\rule{0.2em}{0ex}}\text{revolution}=360\text{°}=2\text{π}\phantom{\rule{0.2em}{0ex}}\text{rad}$

$1\phantom{\rule{0.2em}{0ex}}\text{rev/min}\left(\text{rpm}\right)=0.1047\phantom{\rule{0.2em}{0ex}}\text{rad/s}$