Measurement

# List of Physical Quantities (with Symbols, SI Unit, and Dimension)

List of Physical Quantities |

Base quantity | Symbol | SI unit | Dimension |
---|---|---|---|

Length | l | metre (m) | L |

Mass | m | kilogram (kg) | M |

Time | t | second (s) | T |

Electric current | I | ampere (A) | I |

Temperature | T | kelvin (K) | Θ |

Amount of substance | n | mole (mol) | N |

Luminous intensity | L | candela (cd) | J |

Derived quantity | Symbol | SI unit | Dimension | |
---|---|---|---|---|

Acceleration | a | m s^{-2} | L T^{−2} | |

Angular acceleration | α | rad s^{-2} | T^{-2} | |

Angular momentum | L | kg m^{2} s^{-1} | M L^{2} T^{-1} | |

Angular speed (or angular velocity) | ω | rad s^{-1} | T^{-1} | |

Area | A | m^{2} | L^{2} | |

Area density | ρA | kg m^{-2} | M L^{-2} | |

Capacitance | C | farad (F = A^{2} s^{4} kg^{-1} m−2) | M^{-1} L^{-2} T^{4} I^{2} | |

Catalytic activity | katal (kat = mol s^{-1}) | T^{-1} N | ||

Chemical potential | μ | J mol^{-1} | M L^{2} T^{-2} N^{-1} | |

Current density | J → | A m−2 | L^{-2} I | |

Dynamic viscosity | η | Pa s | M L^{-1} T^{-1} | |

Electric charge | Q | coulomb (C = A s) | T I | |

Electric displacement | D | C m−2 | L^{-2 }T I | |

Electric field strength | E→ | V m^{-1} | M L T^{-3} I^{-1} | |

Electrical conductance | G | siemens (S = A^{2} s^{3} kg^{-1} m−2) | M^{-1} L−2 T^{3} I2 | |

Electrical conductivity | σ | S m^{-1} | M^{-1} L^{-3} T^{3} I2 | |

Electric potential | V | volt (V = kg M^{2} A^{-1} s^{-3}) | M L^{2} T^{-3} I^{-1} | |

Electrical resistance | R | ohm (Ω = kg M^{2} A^{-2} s^{-3}) | M L^{2} T^{-3} I^{-2} | |

Electrical resistivity | ρ | ohm metre (Ω⋅m = kg M^{3} A^{-2} s^{-3}) | M L^{3} T^{-3} I^{-2} | |

Energy | E | joule (J = kg m^{2} s^{-2}) | M L^{2} T^{-2} | |

Energy density | ρE | J m^{-3} | M L^{-1} T^{-2} | |

Entropy | S | J K^{-1} | M L^{2} T^{-2} Θ^{-1} | |

Force | F→ | newton (N = kg m s−2) | M L T^{-2} | |

Frequency | f | hertz (Hz = s^{-1}) | T^{-1} | |

Fuel efficiency | L−2 | |||

Half-life | t1/2 | s | T | |

Heat | Q | joule (J) | M L^{2} T^{-2} | |

Heat capacity | Cp | J K^{-1} | M L^{2} T^{-2} Θ^{-1} | |

Heat flux density | ϕQ | W m−2 | M T^{-3} | |

Illuminance | Ev | lux (lx = cd sr m^{-2}) | L−2 J | |

Impedance | Z | ohm (Ω = kg M^{2} A^{-2} s^{-3}) | M L^{2} T^{-3} I^{-2} | |

Impulse | J | newton second (N⋅s = kg m s^{-1}) | M L T^{-1} | |

Inductance | L | henry (H = kg M^{2} A^{-2} s−2) | M L^{2} T^{-2} I^{-2} | |

Irradiance | E | W m^{-2} | M T^{-3} | |

Intensity | I | W m^{-2} | M T^{-3} | |

Jerk | j→ | m s^{-3} | L T^{-3} | |

Luminous flux (or luminous power) | F | lumen (lm = cd sr) | J | |

Mach number (or mach) | M | unitless | 1 | |

Magnetic field strength | H | A m^{-1} | L^{-1} I | |

Magnetic flux | Φ | weber (Wb = kg M^{2} A^{-1} s−2) | M L^{2} T^{-2} I^{-1} | |

Magnetic flux density | B | tesla (T = kg A^{-1} s−2) | M T^{-2} I^{-1} | |

Magnetization | M | A m^{-1} | L^{-1} I | |

Mass fraction | x | kg/kg | 1 | |

(Mass) Density (or volume density) | ρ | kg m^{-3} | M L^{-3} | |

Mean lifetime | τ | s | T | |

Molar concentration | C | mol m^{-3} | L^{-3} N | |

Molar energy | J mol^{-1} | M L^{2} T^{-2} N^{-1} | ||

Molar entropy | J K^{-1} mol^{-1} | M L^{2} T^{-2} Θ^{-1} N^{-1} | ||

Molar heat capacity | c | J K^{-1} mol^{-1} | M L^{2} T^{-2} Θ^{-1} N^{-1} | |

Moment of inertia | I | kg m^{2} | M L^{2} | |

Momentum | p→ | N s | M L T^{-1} | |

Permeability | μ | H m^{-1} | M L T^{-2} I^{-2} | |

Permittivity | ε | F m^{-1} | M^{-1} L^{-3} T^{4} I^{2} | |

Plane angle | θ | radian (rad) | 1 | |

Power | P | watt (W) | M L^{2} T^{-3} | |

Pressure | p | pascal (Pa = kg m^{-1} s−2) | M L^{-1} T^{-2} | |

(Radioactive) Activity | A | becquerel (Bq = s^{-1}) | T^{-1} | |

Radiance | ys | W m−2 sr^{-1} | M T^{-3} | |

Refractive index | n | unitless | 1 | |

Solid angle | Ω | steradian (sr) | 1 | |

Speed | v | m s^{-1} | L T^{-1} | |

Specific energy | J kg^{-1} | L^{2} T^{-2} | ||

Specific heat capacity | c | J kg^{-1} K^{-1} | L^{2} T^{-2} Θ^{-1} | |

Specific volume | v | M^{3} kg^{-1} | M^{-1} L^{3} | |

Strain | ε | unitless | 1 | |

Stress | σ | Pa | M L^{-1} T^{-2} | |

Surface tension | γ | N m^{-1} or J m−2 | M T^{-2} | |

Thermal conductivity | k | W m^{-1} K^{-1} | M L T^{-3} Θ^{-1} | |

Torque | τ | newton metre (N m) | M L^{2} T^{-2} | |

Velocity | v→ | m s^{-1} | L T^{-1} | |

Volume | V | m^{3} | L^{3} | |

Wavelength | λ | m | L | |

Wavenumber | k | m^{-1} | L^{-1} | |

Weight | w | newton (N = kg m s−2) | M L T^{-2} | |

Work | W | joule (J = kg M^{2} s−2) | M L^{-2}^{2} T^{-2} | |

Young's modulus | E | pascal (Pa = kg m^{-1} s−2) | M L^{-1} T^{-2} | |

Thermal conductivity | k | W m^{-1} K^{-1} | M L T^{-3} Θ^{-1} | |

Torque | τ | newton metre (N m) | M L^{2} T^{-2} | |

Velocity | v→ | m s^{-1} | L T^{-1} | |

Volume | V | m^{3} | L^{3} | |

Wavelength | λ | m | L | |

Wavenumber | k | m^{-1} | L^{-1} | |

Wavevector | k→ | m^{-1} with direction | L^{-1} | |

Weight | w | newton (N = kg m s−2) | M L T^{-2} | |

Work | W | joule (J = kg M^{2} s^{-2}) | M L^{2} T^{-2} | |

Young's modulus | E | pascal (Pa = kg m^{-1} s−2) | M L^{-1} T^{-2} |