Units of normal physical values [1]

7 Basic units (SI units)

  • Mass: M [kg] (kilogram)

  • Time: T [s] (second)

  • Length: L [m] (metre)

  • Temperature: Θ\Theta [K] (Kelvin)

  • Amount of substance: N [mol] (mole)

  • Current: I [A] (Ampere)

  • Luminous intensity: J [cd] (candela)

Induced units

  • Frequency: f=1/Tf = 1/T -> [Hz] = [s^-1] (Hertz)

  • Force: F=md2rdt2\vec{F} = m\frac{d^2\vec{r}}{dt^2} -> [N] = [kg .m .s^-2] (Newton)

  • Energy: W=FLW = F*L -> [J] = [N .m] = [kg .m^2 .s^-2] (Joule)

  • Pressure: P=F/SP = F/S -> [Pa] = [N .m^-2] = [kg .m^-1 .s^-2] (Pascal)

  • Power: P=W/TP = W/T -> [W] = [J .s^-1] = [kg .m^2 .s^-3] (Watt)

  • Electric charge: Q=ITQ = I*T -> [C] = [A .s] (Coulomb)

  • Electric potential: F=EqF = Eq -> [V] = [N .C^-1] = [kg .m .s^-3 .A^-1] (voltage)

  • Magnetic flux density: ×E=Bt\nabla\times\vec{E} = -\frac{\partial\vec{B}}{\partial t} -> [T] = [E .m^-1 .s] = [kg .s^-2 .A^-1] (Tesla)

  • Magnetic flux: ψB=BS\psi_B = \vec{B}\cdot\vec{S} -> [Wb] = [T .m^2] = [kg .m^2 .s^-2 .A^-1] (Weber)

  • Equivalent dose (Ionizing radiation):: [Sv] = [J .kg^-1] = [m^2 .s^-2] (Sievert)

Physical constants [2]

  • Boltzmann constants: k=kB=R/NA=1.380651023J.K1k=k_B = R/N_A = 1.38065*10^{-23} J.K^{-1}, where R is gas constant.

  • Rydberg constant: R=1.09737107m1R = 1.09737*10^7 m^{-1}

  • Avogadro constnat: NA=6.022141023mol1N_A = 6.02214*10^{23} mol^{-1}

  • Gas constant: R=8.31446J.mol1K1=8.31446kg.m2.s2mol1.K1R = 8.31446 J.mol^{-1}K^{-1} = 8.31446 kg.m^2.s^{-2}mol^{-1}.K^{-1} (PV = nRT, where R is gas constant not Ryderg constant, n is amount of gas substance in mol[3])

  • Electron voltage[4]: 1eV=1.602181019J1eV = 1.60218*10^{-19} J

Reference

[1] https://en.wikipedia.org/wiki/International_System_of_Units

[2] https://en.wikipedia.org/wiki/Physical_constant

[3] https://en.wikipedia.org/wiki/Gas_constant

[4] https://en.wikipedia.org/wiki/Electronvolt