Units

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

 

License

Icon for the Creative Commons Attribution 4.0 International License

University Physics Volume 2 by cnxuniphysics is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

Share This Book