PhyCalc - dimensions

calculator - dimensions

The table below shows all the units the calculator can handle. Click on a heading to sort a column.

name	unit symbol	quantity	in base SI units (+ radians)	commonly used formula symbols
filter	filter	filter	filter	filter
		dimensionless
kilogram	kg	mass	kg	m
meter	m	length	m	l
second	s	time	s	t
ampere	A	electric current	A	I
kelvin	K	thermodynamic temperature	K	T
mole	mol	amount of substance	mol	n
candela	cd	luminous intensity	cd	I_V
radian	rad	angle	rad	θ, φ
steradian	sr	solid angle	rad^‌2	Ω
degree Celsius	℃	thermodynamic temperature	K
particles per mole	1/mol	Number density, molar	mol^‌-1
radian per meter	rad/m	curvature	m^‌-1·rad
newton per meter	N/m	surface tension	kg·s^‌-2
newton per meter	N/m	spring constant	kg·s^‌-2	K, k
kilogram per second	kg/s	mass flow	kg·s^‌-1	ṁ
Newton second per meter	N·s/m	viscous friction coefficient	kg·s^‌-1	f_v
mole per cubic meter	mol/m^‌3	concentration or molar concentration	m^‌-3·mol
mole per kilogram	mol/kg	molarity	kg^‌-1·mol
kilogram per mole	kg/mol	molar mass	kg·mol^‌-1
kelvin kilogram per mole	K·kg/mol	dimension of Ebullioscopic constant	kg·K·mol^‌-1	K_b
kelvin per meter	K/m	temperature gradient or thermal gradient	m^‌-1·K
meter cubed per mole	m^‌3/mol	molar volume	m^‌3·mol^‌-1
meter second	m·s	absement	m·s	A
meter squared second	m·s^‌2	absity	m·s^‌2
meter cubed second	m·s^‌3	abseleration	m·s^‌3
meter quartic second	m·s^‌4	abserk	m·s^‌4
meter quintic second	m·s^‌5	absounce	m·s^‌5
hertz	Hz	frequency	s^‌-1	f
reciprocal meter	m^‌-1	wavenumber	m^‌-1	σ, ṽ
reciprocal meter	m^‌-1	placement	m^‌-1
kilogram per second per square meter per pascal	kg/(s·m^‌2·Pa)	water vapor permeance	m^‌-1·s
second per meter	s/m	presement	m^‌-1·s
squared second per meter	s^‌2/m	presity	m^‌-1·s^‌2
cubed second per meter	s^‌3/m	preseleration	m^‌-1·s^‌3
square meter	m^‌2	area	m^‌2	A
cubic meter	m^‌3	volume	m^‌3	V
reciprocal cubic meter	m^‌-3	volume number density	m^‌-3	n
newton	N	force, weight	kg·m·s^‌-2	F
joules per meter	J/m	transportation energy consumption	kg·m·s^‌-2
meter per joule	m/J	transportation energy economy	kg^‌-1·m^‌-1·s^‌2
pascal	Pa	pressure, stress	kg·m^‌-1·s^‌-2	P
reciprocal pascal	Pa^‌-1	compressibility or bulk modulus or compression modulus	kg^‌-1·m·s^‌2
joules per meter cubed	J/m^‌3	energy density	kg·m^‌-1·s^‌-2	E_d
pascal per meter	Pa/m	pressure gradient	kg·m^‌-2·s^‌-2
pascal second	Pa·s	dynamic viscosity	kg·m^‌-1·s^‌-1	η
Newton second per meter to the fifth	N·s/m^‌5	fluid (hydraulic) resistance/impedance	kg·m^‌-4·s^‌-1	η
reciprocal pascal second	(Pa·s)^‌-1	fluidity	kg^‌-1·m·s	φ
joule	J	energy, work, heat	kg·m^‌2·s^‌-2	E, W
joule	J	enthalpy	kg·m^‌2·s^‌-2	H
watt per hertz	W/Hz	power spectral density	kg·m^‌2·s^‌-2	E, W
joule per mole	J/mol	molar energy	kg·m^‌2·s^‌-2·mol^‌-1	W
siemens square meter per mole	S·m^‌2/mol	molar conductivity	kg^‌-1·s^‌3·A^‌2·mol^‌-1	Λ
newton meter	Nm	torque, moment of force	kg·m^‌2·s^‌-2·rad^‌-1	τ
newton meter per second	Nm/s	rotatum	kg·m^‌2·s^‌-3·rad^‌-1	P
newton meter per radian	Nm/rad	rotational stiffness	kg·m^‌2·s^‌-2·rad^‌-2
newton radians	N·rad	centrifugal force	kg·m·s^‌-2·rad	F_c
newton per squareroot watt	N/√W	linear motor constant	kg^‌0.5·s^‌-0.5	K_M
watt	W	power	kg·m^‌2·s^‌-3	P
volt ampere reactive	VAR	reactive power	kg·m^‌2·s^‌-3	Q
volt ampere	VA	apparent power	kg·m^‌2·s^‌-3	S
Kelvin per watt	K/W	thermal resistance	kg^‌-1·m^‌-2·s^‌3·K	θ
kelvin per pascal	K/Pa	Joule–Thomson (Kelvin) coefficient	kg^‌-1·m·s^‌2·K
watt per steradian	W/sr	radiant intensity	kg·m^‌2·s^‌-3·rad^‌-2	I_e
watt per steradian-hertz	W/(sr·Hz)	radiant intensity per unit frequency	kg·m^‌2·s^‌-2·rad^‌-2
watt per steradian-meter	W/(sr·m)	radiant intensity per unit wavelength	kg·m·s^‌-3·rad^‌-2
watt per steradian per square metre per hertz	W/(sr·m^‌2·Hz)	radiance of a surface per unit frequency	kg·s^‌-2·rad^‌-2
watt per steradian per cubed	W/(sr·m^‌3)	radiance of a surface per unit wavelength	kg·m^‌-1·s^‌-3·rad^‌-2
watt per square meter steradian	W/(m^‌2·sr)	radiance	kg·s^‌-3·rad^‌-2	L_e,Ω
watt per squere meter per quartic kelvin	W/(m^‌2·K^‌4)	dimension of Stefan–Boltzmann constant	kg·s^‌-3·K^‌-4	σ
joules per squere cubed per quartic kelvin	J/(m^‌3·K^‌4)	dimension of radiation constant	kg·m^‌-1·s^‌-2·K^‌-4	a
coulomb	C	electric charge or quantity of electricity	s·A	Q, q
coulomb meter	C·m	electric dipole moment	m·s·A	p
coulomb per meter	C/m	linear charge density	m^‌-1·s·A	λ_q
coulomb per square meter	C/m^‌2	electric flux density	m^‌-2·s·A	D
coulomb per square meter	C/m^‌2	polarization density	m^‌-2·s·A	P
particles per meter squared per second	m^‌-2·s^‌-1	particle flux density	m^‌-2·s^‌-1
coulomb per cubic meter	C/m^‌3	electric charge density	m^‌-3·s·A	ρ_V
coulomb per kilogram	C/kg	radiation exposure (x- and γ -rays)	kg^‌-1·s·A
coulomb per kilogram second	C/(kg·s)	radiation exposure rate	kg^‌-1·A
volt	V	voltage, electrical potential difference, electromotive force	kg·m^‌2·s^‌-3·A^‌-1	V
volt per second	V/s	voltage change rate	kg·m^‌2·s^‌-4·A^‌-1
volt per squareroot hertz	V/√Hz	voltage noise	kg·m^‌2·s^‌-2.5·A^‌-1	v_n
volt squared per hertz	V^‌2/Hz	voltage noise power spectral density	kg^‌2·m^‌4·s^‌-5·A^‌-2	S_v
volt per meter	V/m	electric field (E field) strength	kg·m·s^‌-3·A^‌-1	E, ξ
volt meter	V·m	electric flux	kg·m^‌3·s^‌-3·A^‌-1	Φ
volt second per radian	V·s/rad	rotational back EMF constant	kg·m^‌2·s^‌-2·A^‌-1·rad^‌-1	K_V
volt second per meter	V·s/m	linear back EMF constant	kg·m·s^‌-2·A^‌-1	K_V
volt per degree kelvin	V/K	thermal electromotive force	kg·m^‌2·s^‌-3·A^‌-1·K^‌-1
ampere per squareroot hertz	A/√Hz	electric current noise	s^‌0.5·A	i_n
ampere squared per hertz	A^‌2/Hz	electric current noise power spectral density	s·A^‌2	S_i
ampere squared second	A^‌2·s	(I^‌2t) fuse pulse rating	s·A^‌2
ampere meter squared	A·m^‌2	magnetic moment	m^‌2·A	m
farad	F	electrical capacitance	kg^‌-1·m^‌-2·s^‌4·A^‌2	C
ohm	Ω	electrical resistance, impedance, reactance	kg·m^‌2·s^‌-3·A^‌-2	R
ohm meter	Ω·m	resistivity	kg·m^‌3·s^‌-3·A^‌-2	ρ
siemens	S	electrical conductance	kg^‌-1·m^‌-2·s^‌3·A^‌2	G
siemens	S	admittance	kg^‌-1·m^‌-2·s^‌3·A^‌2	Y
siemens per meter	S/m	electrical conductivity	kg^‌-1·m^‌-3·s^‌3·A^‌2	γ, σ
weber	Wb	magnetic flux	kg·m^‌2·s^‌-2·A^‌-1	Φ
tesla	T	magnetic field strength (B-field), magnetic flux density	kg·s^‌-2·A^‌-1	B
meter squared per voltage second	m^‌2/(V·s)	carrier (electron or hole) mobility	kg^‌-1·s^‌2·A	μ
henry	H	inductance	kg·m^‌2·s^‌-2·A^‌-2	L
reciprocal henry	H^‌-1	magnetic reluctance	kg^‌-1·m^‌-2·s^‌2·A^‌2	R
webers per ampere	Wb/A	permeance	kg·m^‌2·s^‌-2·A^‌-2	P
lumen	lm	luminous flux	cd·rad^‌2	Φ_V
lumen per watt	lm/W	luminous efficacy	kg^‌-1·m^‌-2·s^‌3·cd·rad^‌2	η
lumen second	lm·s	luminous energy	s·cd·rad^‌2	Q_V
lumen second per cubic meter	lm·s/m^‌3	luminous energy density	m^‌-3·s·cd·rad^‌2	ω_V
lux	lx	illuminance	m^‌-2·cd·rad^‌2	E_V
lux second	lx·s	luminous exposure	m^‌-2·s·cd·rad^‌2	H_V
candela per square meter	cd/m^‌2	luminance	m^‌-2·cd	L_V
becquerel	Bq	activity referred to a radionuclide	s^‌-1	A
becquerel per kilogram	Bq/kg	specific activity	kg^‌-1·s^‌-1	a
becquerel per cubic meter	Bq/m^‌3	radioactive concentration	m^‌-3·s^‌-1
gray	Gy	absorbed dose (of ionizing radiation)	m^‌2·s^‌-2	D
gray per second	Gy/s	absorbed dose (of ionizing radiation) rate	m^‌2·s^‌-3
sievert	Sv	equivalent dose (of ionizing radiation)	m^‌2·s^‌-2
joules per kilogram	J/kg	specific energy	m^‌2·s^‌-2	E_s
joules per kilogram	J/kg	specific enthalpy	m^‌2·s^‌-2	h
meter squared per second	m^‌2/s	kinematic viscosity, diffusion coefficient	m^‌2·s^‌-1	ν
katal	kat	catalytic activity	s^‌-1·mol
katal per cubic meter	kat/m^‌3	catalytic activity concentration	m^‌-3·s^‌-1·mol
kilogram metre squared	kg·m^‌2	moment of inertia	kg·m^‌2	I, J
Nms	Nms	angular momentum	kg·m^‌2·s^‌-1·rad^‌-2	L
newton meter second per radian	Nm·s/rad	rotational viscous friction coefficient	kg·m^‌2·s^‌-1·rad^‌-2	D
joule per hertz	J/Hz	energy spectral density	kg·m^‌2·s^‌-1
joule second	J·s	action	kg·m^‌2·s^‌-1
meters cubed per kilogram per second squared	N·m^‌2·kg^‌-2	unit for gravitational constant	kg^‌-1·m^‌3·s^‌-2	G
radians per second	rad/s	angular velocity, speed of rotation	s^‌-1·rad	ω
radians per second squared	rad/s^‌2	angular acceleration	s^‌-2·rad	α
radians per cubic second	rad/s^‌3	angular jerk	s^‌-3·rad	ζ
joules per kelvin	J/K	heat capacity, entropy	kg·m^‌2·s^‌-2·K^‌-1	C, S
joules per mole-kelvin	J/(mol·K)	molar heat capacity	kg·m^‌2·s^‌-2·K^‌-1·mol^‌-1	C_m
joules per kilogram kelvin	J/(kg·K)	specific heat capacity, specific entropy	m^‌2·s^‌-2·K^‌-1	s
ampere per square meter	A/m^‌2	current density	m^‌-2·A	J
meter per second	m/s	speed, velocity	m·s^‌-1	v
cubic meter per second	m^‌3/s	volumetric flow	m^‌3·s^‌-1	Q, Φ
cubic meter per second squared	m^‌3/s^‌2	volumetric flow acceleration	m^‌3·s^‌-2
meter per second squared	m/s^‌2	acceleration	m·s^‌-2	a
newton per kilogram	N/kg	gravitational field strength	m·s^‌-2	γ
meter per second cubed	m/s^‌3	jerk, jolt	m·s^‌-3
meter per quartic second	m/s^‌4	jounce, snap	m·s^‌-4	s
meter per quintic second	m/s^‌5	crackle	m·s^‌-5	c
meter per hexic second	m/s^‌6	pop	m·s^‌-6	p
cubic meter per kilogram	m^‌3/kg	specific volume	kg^‌-1·m^‌3	v
kilogram per cubic meter	kg/m^‌3	density, mass density, mass concentration	kg·m^‌-3	ρ, γ
kilogram per square meter	kg/m^‌2	surface density	kg·m^‌-2	ρ_A
kilogram per meter	kg/m	linear density	kg·m^‌-1
kilogram per square meter per second	kg/(m^‌2·s)	mass flux	kg·m^‌-2·s^‌-1
ampere per meter	A/m	magnetic field (H-field) strength	m^‌-1·A	H
farad per meter	F/m	permittivity	kg^‌-1·m^‌-3·s^‌4·A^‌2	ε
henry per meter	H/m	permeability	kg·m·s^‌-2·A^‌-2	μ
watt per meter squared	W/m^‌2	heat flux density	kg·s^‌-3
watt per meter squared	W/m^‌2	radiosity	kg·s^‌-3	J_e
joules per meter squared	J/m^‌2	radiant exposure, fluence	kg·s^‌-2	H_e
watt per cubic meter	W/m^‌3	power density	kg·m^‌-1·s^‌-3
watt per kilogram	W/kg	specific power density	m^‌2·s^‌-3
meter per second squared, squared per Hz	(m/s^‌2)^‌2/Hz	acceleration spectral density	m^‌2·s^‌-3
watt per meter squared kelvin	W/(m^‌2·K)	heat transfer coefficient	kg·s^‌-3·K^‌-1	h
watt per meter kelvin	W/(m·K)	thermal conductivity	kg·m·s^‌-3·K^‌-1	λ, k
meter kelvin per watt	m·K/W	thermal resistivity	kg^‌-1·m^‌-1·s^‌3·K
Joules meter squared per kilogram	J·m^‌2/kg	mass stopping power	m^‌4·s^‌-2
newton second	N·s	momentum, impulse	kg·m·s^‌-1	I
newton per second	N/s	yank	kg·m·s^‌-3	Y
newton per squared second	N/s^‌2	tug	kg·m·s^‌-4	T
newton per cubed second	N/s^‌3	snatch	kg·m·s^‌-5	S
newton per quartic second	N/s^‌4	shake	kg·m·s^‌-6	Sh