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Unit Equalities

Unit Equalities

Nomenclature & Symbols for Engineering, Mathematics, and Science

A - B - C - D - E - F - G - H - I - J - K - L - M - N - O - P - Q - R - S - T - U - V - W - X - Y - Z

Symbol English Metric SI
 Ampere  -  A, \;I
 -  I  =  \large{\frac{C}{s}}  C - s^{-1}
 Btu  -  Btu  Btu  =  lbf-ft  Btu  =  J  =  kJ  =  W-h  J
 Celsius  -  C  -  C   x+273.15\;K
 Coulomb  -  C  -  C  =  A-s   A-s
 Farad  -  F  -  F  =  \large{\frac{s^4-A^2}{kg-m^2}}  =  \large{\frac{S^2-C^2}{kg-m^2}}  =  \large{\frac{C}{V}}  =  \large{\frac{A-s}{V}}  =  \large{\frac{W-s}{V^2}}  =  \large{\frac{J}{V^2}}  =  \large{\frac{N-m}{V^2}}  =  \large{\frac{C^2}{J}}  =  \large{\frac{C^2}{N-m}}  =  \large{\frac{S}{\Omega}}  =  \large{\frac{1}{\Omega-Hz}}  =  \large{\frac{S}{Hz}}  =  \large{\frac{s^2}{H}}  s^4-A^2-kg^{-1}-m^{-2}
 GaussG  -  G  =  \large{\frac{T}{10^4}}  =  Mx-cm^2  =  \large{\frac{g}{Bi-s^2}}  T-10^{-4}
 HenryH  -  H  =  \large{\frac{kg-m^2}{s^2-A^2}}  =  \large{\frac{N-m}{A^2}}  =  \large{\frac{kg-m^2}{C^2}}  =  \large{\frac{J}{A^2}}  =  \large{\frac{T-m^2}{A}}  =  \large{\frac{Wb}{A}}  =  \large{\frac{V-s}{A}}  =  \large{\frac{s^2}{F}}  =  \large{\frac{\Omega}{Hz}}  =  \Omega-s  kg-m^2-s^{-2}-A^{-2}
 HertzHz  -  Hz  =  s^{-1} (one cycle per sec)  s^{-1}
 Horespowerhp  hp  hp  =  W  W
 JouleJ  lbf-ft  J  =  \large{\frac{kg-m^2}{s^2}}  =  N-m  =  Pa-m^3  =  W-s  =  C-V  =  \Omega-A^2-s  kg-m^2-s^{-2}
 Joule-secJ-s  \large{\frac{lbf-ft}{sec}}  J-s  =  \large{\frac{kg-m^2}{s}}  kg-m^2-s^{-1}
 KelvinK  -  K  x-273.15\;C
 MaxwellMx  -  Mx  =  \large{\frac{Wb}{10^{8}}}  =  \large{\frac{G}{cm^2}}  Wb-10^{-8}
 NewtonN  lbf  N  =  \large{\frac{kg-m}{s^2}}  kg-m-s^{-2}
 Newton-meterN-m  lbf-ft  N-m  =  \large{\frac{kg-m^2}{s^2}}  kg-m^2-s^{-2}
 Ohm(\Omega), \;(R)  -  \Omega  =  \large{\frac{kg-m^2}{s^3-A^2}}  =  \large{\frac{kg-m^2}{s-C^2}}  =  \large{\frac{J}{s-A^2}}  =  \large{\frac{V}{A}}  =  \large{\frac{1}{S}}  =  \large{\frac{W}{A^2}}  =  \large{\frac{V^2}{W}}  =  \large{\frac{s}{F}}  =  \large{\frac{H}{s}}  =  \large{\frac{J-s}{C^2}} kg-m^2-s^{-3}-A^{-2}
 PoiseP   \large{\frac{lbf}{ft-sec}}  P  =  \large{\frac{kg}{0.1\;m-s}}  =  1\;dyn-s-cm^2  =  \large{\frac{N-s}{m^2}}  kg-0.1\;m^{-1}-s^{-1}
 PascalPa   \large{\frac{lbf}{in^2}}  Pa  =  \large{\frac{kg}{m-s^2}}  =  \large{\frac{N}{m^2}}  =  \large{\frac{J}{m^3}}  kg-m^{-1}-s^{-2}
 Pascal-secPa-s   \large{\frac{lbf-sec}{ft^2}}  Pa-s  =  \large{\frac{kg}{m-s}}  =  \large{\frac{N-s}{m^2}}  =  10\;P  kg-m^{-1}-s^{-1}
 MegaPascalMPa   \large{\frac{lbf}{in^2}}  MPa  =  \large{\frac{N}{mm^2}}  N-mm^{-2}
 SiemensS  -  S  =  \large{\frac{s^3-A^2}{kg-m^2}} s^3-A^2-kg^{-1}-m^{-2}
 TeslaT  -  T  =  \large{\frac{kg}{s^2-A}}  =  \large{\frac{V-s}{m^2}}  =  \large{\frac{N}{A-m}}  =  \large{\frac{J}{A-m^2}}  =  \large{\frac{H-A}{m^2}}  =  \large{\frac{Wb}{m^2}}  =  \large{\frac{kg}{C-s}}  =  \large{\frac{N-s}{C-m}}  =  \large{\frac{kg}{A-s^2}}  kg-s^{-2}-A^{-1}
 TorrTorr  -  Torr  =  Pa  kg-m^{-1}-s^{-2}
 VoltV  -

 V  =  \large{\frac{kg-m^2}{s^{3}-A}}  =  A-\Omega  =  \large{\frac{Wb}{s}}  =  \large{\frac{W}{A}}  =  \large{\frac{J}{C}}  =  \large{\frac{eV}{e}}

  • eV = electronvolt
  • e = elementary charge
 kg-m^2-s^{-3}-A^{-1}
 Watt(W), \;(P)  \large{\frac{lbf-ft^2}{ssec^3}}  W  =  \large{\frac{kg-m^2}{s^3}}  =  \large{\frac{J}{s}}  =  \large{\frac{N-m}{s}}  kg-m^2-s^{-3}
 WeberWb  \large{\frac{V}{sec}}  Wb  =  \large{\frac{kg-m^2}{s^2-A}}  =  \large{\frac{N-m}{A}}  =  \large{\frac{J}{A}}  =  \Omega-C  =  V-s  =  H-S  =  T-m^2  =  10^8-Mx  kg-m^2-s^{-2}-A^{-1}

 

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