Conversion Factors

cnxuniphysics

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

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

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

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

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

License

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