Nomenclature & Symbols for Engineering, Mathematics, and Science

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Formula nomenclature is a system of names or terms represented by letters and the Greek alphabet assigned to represent equation physical quantities.  Definition symbols vary widely and do not necessarily represent the information being presented the way an abbreviation does.  These alphabetical lists contain symbols, greek symbols, definitions, US units, metric units, dimensionless numbers, constants, and constant values.

 

Mathematics and Management Rules and Symbols

 

Nomenclature & Symbols for Engineering, Mathematics, and Science

 

Unit Equalities

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  -  \(F\)  -  \(F\)  =  \(\large{\frac{s^4-A^2}{kg-m^2}}\)  =  \(\large{\frac{S^2-C^2}{kg-m^2}}\)  =  \(\large{\frac{C}{V}}\)  =  \(\large{\frac{A-s}{V}}\)  =  \(\large{\frac{W-s}{V^2}}\)  =  \(\large{\frac{J}{V^2}}\)  =  \(\large{\frac{N-m}{V^2}}\)  =  \(\large{\frac{C^2}{J}}\)  =  \(\large{\frac{C^2}{N-m}}\)  =  \(\large{\frac{S}{\Omega}}\)  =  \(\large{\frac{1}{\Omega-Hz}}\)  =  \(\large{\frac{S}{Hz}}\)  =  \(\large{\frac{s^2}{H}}\)  \(s^4-A^2-kg^{-1}-m^{-2}\)
 Gauss -  \(G\)  -  \(G\)  =  \(\large{\frac{T}{10^4}}\)  =  \(Mx-cm^2\)  =  \(\large{\frac{g}{Bi-s^2}}\)  \(T-10^{-4}\)
 Henry -  \(H\)  -  \(H\)  =  \(\large{\frac{kg-m^2}{s^2-A^2}}\)  =  \(\large{\frac{N-m}{A^2}}\)  =  \(\large{\frac{kg-m^2}{C^2}}\)  =  \(\large{\frac{J}{A^2}}\)  =  \(\large{\frac{T-m^2}{A}}\)  =  \(\large{\frac{Wb}{A}}\)  =  \(\large{\frac{V-s}{A}}\)  =  \(\large{\frac{s^2}{F}}\)  =  \(\large{\frac{\Omega}{Hz}}\)  =  \(\Omega-s\)  \(kg-m^2-s^{-2}-A^{-2}\)
 Hertz -  \(Hz\)  -  \(Hz\)  =  \(s^{-1}\) (one cycle per sec)  \(s^{-1}\)
 Horespower -  \(hp\)  \(hp\)  \(hp\)  =  \(W\)  \(W\)
 Joule -  \(J\)  \(lbf-ft\)  \(J\)  =  \(\large{\frac{kg-m^2}{s^2}}\)  =  \(N-m\)  =  \(Pa-m^3\)  =  \(W-s\)  =  \(C-V\)  =  \(\Omega-A^2-s\)  \(kg-m^2-s^{-2}\)
 Joule-sec -  \(J-s\)  \(\large{\frac{lbf-ft}{sec}}\)  \(J-s\)  =  \(\large{\frac{kg-m^2}{s}}\)  \(kg-m^2-s^{-1}\)
 Kelvin -  \(K\)  -  \(K\)  \(x-273.15\;C\)
 Maxwell -  \(Mx\)  -  \(Mx\)  =  \(\large{\frac{Wb}{10^{8}}}\)  =  \(\large{\frac{G}{cm^2}}\)  \(Wb-10^{-8}\)
 Newton -  \(N\)  \(lbf\)  \(N\)  =  \(\large{\frac{kg-m}{s^2}}\)  \(kg-m-s^{-2}\)
 Newton-meter -  \(N-m\)  \(lbf-ft\)  \(N-m\)  =  \(\large{\frac{kg-m^2}{s^2}}\)  \(kg-m^2-s^{-2}\)
 Ohm -  \((\Omega)\), \(\;(R)\)  -  \(\Omega\)  =  \(\large{\frac{kg-m^2}{s^3-A^2}}\)  =  \(\large{\frac{kg-m^2}{s-C^2}}\)  =  \(\large{\frac{J}{s-A^2}}\)  =  \(\large{\frac{V}{A}}\)  =  \(\large{\frac{1}{S}}\)  =  \(\large{\frac{W}{A^2}}\)  =  \(\large{\frac{V^2}{W}}\)  =  \(\large{\frac{s}{F}}\)  =  \(\large{\frac{H}{s}}\)  =  \(\large{\frac{J-s}{C^2}}\) \(kg-m^2-s^{-3}-A^{-2}\)
 Poise -  \(P\)   \(\large{\frac{lbf}{ft-sec}}\)  \(P\)  =  \(\large{\frac{kg}{0.1\;m-s}}\)  =  \(1\;dyn-s-cm^2\)  =  \(\large{\frac{N-s}{m^2}}\)  \(kg-0.1\;m^{-1}-s^{-1}\)
 Pascal -  \(Pa\)   \(\large{\frac{lbf}{in^2}}\)  \(Pa\)  =  \(\large{\frac{kg}{m-s^2}}\)  =  \(\large{\frac{N}{m^2}}\)  =  \(\large{\frac{J}{m^3}}\)  \(kg-m^{-1}-s^{-2}\)
 Pascal-sec -  \(Pa-s\)   \(\large{\frac{lbf-sec}{ft^2}}\)  \(Pa-s\)  =  \(\large{\frac{kg}{m-s}}\)  =  \(\large{\frac{N-s}{m^2}}\)  =  \(10\;P\)  \(kg-m^{-1}-s^{-1}\)
 MegaPascal -  \(MPa\)   \(\large{\frac{lbf}{in^2}}\)  \(MPa\)  =  \(\large{\frac{N}{mm^2}}\)  \(N-mm^{-2}\)
 Siemens -  \(S\)  -  \(S\)  =  \(\large{\frac{s^3-A^2}{kg-m^2}}\) \(s^3-A^2-kg^{-1}-m^{-2}\)
 Tesla -  \(T\)  -  \(T\)  =  \(\large{\frac{kg}{s^2-A}}\)  =  \(\large{\frac{V-s}{m^2}}\)  =  \(\large{\frac{N}{A-m}}\)  =  \(\large{\frac{J}{A-m^2}}\)  =  \(\large{\frac{H-A}{m^2}}\)  =  \(\large{\frac{Wb}{m^2}}\)  =  \(\large{\frac{kg}{C-s}}\)  =  \(\large{\frac{N-s}{C-m}}\)  =  \(\large{\frac{kg}{A-s^2}}\)  \(kg-s^{-2}-A^{-1}\)
 Torr -  \(Torr\)  -  \(Torr\)  =  \(Pa\)  \(kg-m^{-1}-s^{-2}\)
 Volt -  \(V\)  -

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

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