Units

cnxuniphysics

Units

Units Used in Physics (Fundamental units in bold)
Quantity	Common Symbol	Unit	Unit in Terms of Base SI Units
Acceleration	$\stackrel{\to }{a}$	m/s²	m/s²
Amount of substance	n	mole	mol
Angle	$\theta ,\varphi$	radian (rad)
Angular acceleration	$\stackrel{\to }{\alpha }$	rad/s²	s⁻²
Angular frequency	$\omega$	rad/s	s⁻¹
Angular momentum	$\stackrel{\to }{L}$	$\text{kg}·{\text{m}}^{2}\text{/s}$	$\text{kg}·{\text{m}}^{2}\text{/s}$
Angular velocity	$\stackrel{\to }{\omega }$	rad/s	s⁻¹
Area	A	m²	m²
Atomic number	Z
Capacitance	C	farad (F)	${\text{A}}^{2}·{\text{s}}^{4}\text{/}\text{kg}·{\text{m}}^{2}$
Charge	q, Q, e	coulomb (C)	$\text{A}·\text{s}$
Charge density:
Line	$\lambda$	C/m	$\text{A}·\text{s/m}$
Surface	$\sigma$	C/m²	$\text{A}·{\text{s/m}}^{2}$
Volume	$\rho$	C/m³	$\text{A}·{\text{s/m}}^{3}$
Conductivity	$\sigma$	$\text{1/}\text{Ω}·\text{m}$	${\text{A}}^{2}·{\text{s}}^{3}\text{/kg}·{\text{m}}^{3}$
Current	I	ampere	A
Current density	$\stackrel{\to }{J}$	A/m²	A/m²
Density	$\rho$	kg/m³	kg/m³
Dielectric constant	$\kappa$
Electric dipole moment	$\stackrel{\to }{p}$	$\text{C}·\text{m}$	$\text{A}·\text{s}·\text{m}$
Electric field	$\stackrel{\to }{E}$	N/C	$\text{kg}·\text{m/A}·{\text{s}}^{3}$
Electric flux	$\text{Φ}$	$\text{N}·{\text{m}}^{2}\text{/}\text{C}$	$\text{kg}·{\text{m}}^{3}\text{/A}·{\text{s}}^{3}$
Electromotive force	$\epsilon$	volt (V)	$\text{kg}·{\text{m}}^{2}\text{/A}·{\text{s}}^{3}$
Energy	E,U,K	joule (J)	$\text{kg}·{\text{m}}^{2}{\text{/s}}^{2}$
Entropy	S	J/K	$\text{kg}·{\text{m}}^{2}{\text{/s}}^{2}·\text{K}$
Force	$\stackrel{\to }{F}$	newton (N)	$\text{kg}·{\text{m/s}}^{2}$
Frequency	f	hertz (Hz)	s⁻¹
Heat	Q	joule (J)	$\text{kg}·{\text{m}}^{2}{\text{/s}}^{2}$
Inductance	L	henry (H)	$\text{kg}·{\text{m}}^{2}{\text{/A}}^{2}·{\text{s}}^{2}$
Length:	$\ell ,L$	meter	m
Displacement	$\text{Δ}x,\text{Δ}\stackrel{\to }{r}$
Distance	d, h
Position	$x,y,z,\stackrel{\to }{r}$
Magnetic dipole moment	$\stackrel{\to }{\mu }$	$\text{N}·\text{J/T}$	$\text{A}·{\text{m}}^{2}$
Magnetic field	$\stackrel{\to }{B}$	$\text{tesla}\left(\text{T}\right)=\left({\text{Wb/m}}^{2}\right)$	$\text{kg/A}·{\text{s}}^{2}$
Magnetic flux	${\text{Φ}}_{\text{m}}$	weber (Wb)	$\text{kg}·{\text{m}}^{2}\text{/A}·{\text{s}}^{2}$
Mass	m, M	kilogram	kg
Molar specific heat	C	$\text{J/mol}·\text{K}$	$\text{kg}·{\text{m}}^{2}{\text{/s}}^{2}·\text{mol}·\text{K}$
Moment of inertia	I	$\text{kg}·{\text{m}}^{2}$	$\text{kg}·{\text{m}}^{2}$
Momentum	$\stackrel{\to }{p}$	$\text{kg}·\text{m/s}$	$\text{kg}·\text{m/s}$
Period	T	s	s
Permeability of free space	${\mu }_{0}$	${\text{N/A}}^{2}\text{=}\left(\text{H/m}\right)$	$\text{kg}·{\text{m/A}}^{2}·{\text{s}}^{2}$
Permittivity of free space	${\epsilon }_{0}$	${\text{C}}^{2}\text{/N}·{\text{m}}^{2}\text{=}\left(\text{F/m}\right)$	${\text{A}}^{2}·{\text{s}}^{4}\text{/kg}·{\text{m}}^{3}$
Potential	V	$\text{volt}\left(\text{V}\right)=\left(\text{J/C}\right)$	$\text{kg}·{\text{m}}^{2}\text{/A}·{\text{s}}^{3}$
Power	P	$\text{watt}\left(\text{W}\right)=\left(\text{J/s}\right)$	$\text{kg}·{\text{m}}^{2}{\text{/s}}^{3}$
Pressure	p	$\text{pascal}\left(\text{Pa}\right)=\left({\text{N/m}}^{2}\right)$	$\text{kg/m}·{\text{s}}^{2}$
Resistance	R	$\text{ohm}\left(\text{Ω}\right)=\left(\text{V/A}\right)$	$\text{kg}·{\text{m}}^{2}{\text{/A}}^{2}·{\text{s}}^{3}$
Specific heat	c	$\text{J/kg}·\text{K}$	${\text{m}}^{2}{\text{/s}}^{2}·\text{K}$
Speed	$\nu$	m/s	m/s
Temperature	T	kelvin	K
Time	t	second	s
Torque	$\stackrel{\to }{\tau }$	$\text{N}·\text{m}$	$\text{kg}·{\text{m}}^{2}{\text{/s}}^{2}$
Velocity	$\stackrel{\to }{v}$	m/s	m/s
Volume	V	m³	m³
Wavelength	$\lambda$	m	m
Work	W	$\text{joule}\left(\text{J}\right)=\left(\text{N}·\text{m}\right)$	$\text{kg}·{\text{m}}^{2}{\text{/s}}^{2}$

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