Units

Units Used in Physics (Fundamental units in bold)
Quantity Common Symbol Unit Unit in Terms of Base SI Units
Acceleration

    \[\overset{\to }{a}\]

m/s2 m/s2
Amount of substance n mole mol
Angle

    \[\theta ,\varphi\]

radian (rad)
Angular acceleration

    \[\overset{\to }{\alpha }\]

rad/s2 s−2
Angular frequency

    \[\omega\]

rad/s s−1
Angular momentum

    \[\overset{\to }{L}\]

    \[\text{kg}·{\text{m}}^{2}\text{/s}\]

    \[\text{kg}·{\text{m}}^{2}\text{/s}\]

Angular velocity

    \[\overset{\to }{\omega }\]

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

    \[\overset{\to }{J}\]

A/m2 A/m2
Density

    \[\rho\]

kg/m3 kg/m3
Dielectric constant

    \[\kappa\]

Electric dipole moment

    \[\overset{\to }{p}\]

    \[\text{C}·\text{m}\]

    \[\text{A}·\text{s}·\text{m}\]

Electric field

    \[\overset{\to }{E}\]

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

    \[\overset{\to }{F}\]

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

    \[\text{Δ}x,\text{Δ}\overset{\to }{r}\]

    Distance d, h
    Position

    \[x,y,z,\overset{\to }{r}\]

Magnetic dipole moment

    \[\overset{\to }{\mu }\]

    \[\text{N}·\text{J/T}\]

    \[\text{A}·{\text{m}}^{2}\]

Magnetic field

    \[\overset{\to }{B}\]

    \[\text{tesla}(\text{T})=({\text{Wb/m}}^{2})\]

    \[\text{kg/A}·{\text{s}}^{2}\]

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

    \[\overset{\to }{p}\]

    \[\text{kg}·\text{m/s}\]

    \[\text{kg}·\text{m/s}\]

Period T s s
Permeability of free space

    \[{\mu }_{0}\]

    \[{\text{N/A}}^{2}\text{=}(\text{H/m})\]

    \[\text{kg}·{\text{m/A}}^{2}·{\text{s}}^{2}\]

Permittivity of free space

    \[{\epsilon }_{0}\]

    \[{\text{C}}^{2}\text{/N}·{\text{m}}^{2}\text{=}(\text{F/m})\]

    \[{\text{A}}^{2}·{\text{s}}^{4}\text{/kg}·{\text{m}}^{3}\]

Potential V

    \[\text{volt}(\text{V})=(\text{J/C})\]

    \[\text{kg}·{\text{m}}^{2}\text{/A}·{\text{s}}^{3}\]

Power P

    \[\text{watt}(\text{W})=(\text{J/s})\]

    \[\text{kg}·{\text{m}}^{2}{\text{/s}}^{3}\]

Pressure p

    \[\text{pascal}(\text{Pa})=({\text{N/m}}^{2})\]

    \[\text{kg/m}·{\text{s}}^{2}\]

Resistance R

    \[\text{ohm}(\text{Ω})=(\text{V/A})\]

    \[\text{kg}·{\text{m}}^{2}{\text{/A}}^{2}·{\text{s}}^{3}\]

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

    \[\overset{\to }{\tau }\]

    \[\text{N}·\text{m}\]

    \[\text{kg}·{\text{m}}^{2}{\text{/s}}^{2}\]

Velocity

    \[\overset{\to }{v}\]

m/s m/s
Volume V m3 m3
Wavelength

    \[\lambda\]

m m
Work W

    \[\text{joule}(\text{J})=(\text{N}·\text{m})\]

    \[\text{kg}·{\text{m}}^{2}{\text{/s}}^{2}\]

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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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