Nomenclature & Symbols for Engineering, Mathematics, and Science

nomenclature symbol banner 4Formula 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.

                                            Formula Nomenclature & Symbols

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Nomenclature & Symbols


 

 

 

 

 

 

 

 

 

 

 

 

 

Unit Equalities

SymbolTypeUnits

Ampere

\((A)\), \(\;(I)\)

English  \(I\)
Metric  \(I\)  =  \(\large{\frac{C}{s}}\)
SI  \(C - s^{-1}\)

Btu

\((Btu)\)

English  \(lbf-ft\)
Metric  \(Btu\)  =  \(J\)  =  \(kJ\)  =  \(W-h\)
SI  \(J\)

Celsius

\((C)\)

English  -
Metric  \(C\)
SI  \(x+273.15\;K\)

Coulomb

\((C)\)

English  -
Metric  \(C\)  =  \(A-s\)
SI  \(A-s\)

Farad

\((F)\)

English  -
Metric  \(F\)  =  \(\large{\frac{s^4-A^2}{kg-m^2}}\)  =  \(\large{\frac{S^2-C^2}{kg-m^2}}\)  =  \(\large{\frac{C}{V}}\)  =  \(\large{\frac{A-s}{V}}\)  =  \(\large{\frac{W-s}{V^2}}\)  =  \(\large{\frac{J}{V^2}}\)  =  \(\large{\frac{N-m}{V^2}}\)  =  \(\large{\frac{C^2}{J}}\)  =  \(\large{\frac{C^2}{N-m}}\)  =  \(\large{\frac{S}{\Omega}}\)  =  \(\large{\frac{1}{\Omega-Hz}}\)  =  \(\large{\frac{S}{Hz}}\)  =  \(\large{\frac{s^2}{H}}\)
SI  \(s^4-A^2-kg^{-1}-m^{-2}\)

Gauss

\((G)\)

English  -
Metric  \(G\)  =  \(\large{\frac{T}{10^4}}\)  =  \(Mx-cm^2\)  =  \(\large{\frac{g}{Bi-s^2}}\)
SI  \(T-10^{-4}\)

Henry

\((H)\)

English  -
Metric  \(H\)  =  \(\large{\frac{kg-m^2}{s^2-A^2}}\)  =  \(\large{\frac{N-m}{A^2}}\)  =  \(\large{\frac{kg-m^2}{C^2}}\)  =  \(\large{\frac{J}{A^2}}\)  =  \(\large{\frac{T-m^2}{A}}\)  =  \(\large{\frac{Wb}{A}}\)  =  \(\large{\frac{V-s}{A}}\)  =  \(\large{\frac{s^2}{F}}\)  =  \(\large{\frac{\Omega}{Hz}}\)  =  \(\Omega-s\)
SI  \(kg-m^2-s^{-2}-A^{-2}\)

 Hertz

\((Hz)\)

English  -
Metric  \(Hz\)  =  \(s^{-1}\) (one cycle per sec)
SI  \(s^{-1}\)

Horespower

\((hp)\)

English  \(hp\)
Metric  \(hp\)  =  \(W\)
SI  \(W\)

Joule

\((J)\)

English  \(lbf-ft\)
Metric  \(J\)  =  \(\large{\frac{kg-m^2}{s^2}}\)  =  \(N-m\)  =  \(Pa-m^3\)  =  \(W-s\)  =  \(C-V\)  =  \(\Omega-A^2-s\)
SI  \(kg-m^2-s^{-2}\)

Joule-sec

\((J-s)\)

English  \(\large{\frac{lbf-ft}{sec}}\)
Metric  \(J-s\)  =  \(\large{\frac{kg-m^2}{s}}\)
SI  \(kg-m^2-s^{-1}\)

Kelvin

\((K)\)

English  -
Metric  K
SI  \(x-273.15\;C\)

Maxwell

\((Mx)\)

English  -
Metric  \(Mx\)  =  \(\large{\frac{Wb}{10^{8}}}\)  =  \(\large{\frac{G}{cm^2}}\)
SI  \(Wb-10^{-8}\)

Newton

\((N)\)

English  \(lbf\)
Metric  \(N\)  =  \(\large{\frac{kg-m}{s^2}}\)
SI  \(kg-m-s^{-2}\)

Newton-meter

\((N-m)\)

English  \(lbf-ft\)
Metric  \(N-m\)  =  \(\large{\frac{kg-m^2}{s^2}}\)
SI  \(kg-m^2-s^{-2}\)

Ohm

\((\Omega)\), \(\;(R)\)

English  \(\Omega\)
Metric  \(\Omega\)  =  \(\large{\frac{kg-m^2}{s^3-A^2}}\)  =  \(\large{\frac{kg-m^2}{s-C^2}}\)  =  \(\large{\frac{J}{s-A^2}}\)  =  \(\large{\frac{V}{A}}\)  =  \(\large{\frac{1}{S}}\)  =  \(\large{\frac{W}{A^2}}\)  =  \(\large{\frac{V^2}{W}}\)  =  \(\large{\frac{s}{F}}\)  =  \(\large{\frac{H}{s}}\)  =  \(\large{\frac{J-s}{C^2}}\)
SI  \(kg-m^2-s^{-3}-A^{-2}\)

Poise

\((P)\)

English  \(\large{\frac{lbf}{ft-sec}}\)
Metric  \(P\)  =  \(\large{\frac{kg}{0.1\;m-s}}\)  =  \(1\;dyn-s-cm^2\)  =  \(\large{\frac{N-s}{m^2}}\)
SI  \(kg-0.1\;m^{-1}-s^{-1}\)

Pascal

\((Pa)\)

English  \(\large{\frac{lbf}{in^2}}\)
Metric  \(Pa\)  =  \(\large{\frac{kg}{m-s^2}}\)  =  \(\large{\frac{N}{m^2}}\)  =  \(\large{\frac{J}{m^3}}\)
SI  \(kg-m^{-1}-s^{-2}\)

Pascal-sec

\((Pa-s)\)

English  \(\large{\frac{lbf-sec}{ft^2}}\)
Metric  \(Pa-s\)  =  \(\large{\frac{kg}{m-s}}\)  =  \(\large{\frac{N-s}{m^2}}\)  =  \(10\;P\)
SI  \(kg-m^{-1}-s^{-1}\)

MegaPascal

\((MPa)\)

English  \(\large{\frac{lbf}{in^2}}\)
Metric  \(MPa\)  =  \(\large{\frac{N}{mm^2}}\)
SI  \(N-mm^{-2}\)

Siemens

\((S)\)

English  -
Metric  \(S\)  =  \(\large{\frac{s^3-A^2}{kg-m^2}}\)
SI  \(s^3-A^2-kg^{-1}-m^{-2}\)

Tesla

\((T)\)

English  -
Metric  \(T\)  =  \(\large{\frac{kg}{s^2-A}}\)  =  \(\large{\frac{V-s}{m^2}}\)  =  \(\large{\frac{N}{A-m}}\)  =  \(\large{\frac{J}{A-m^2}}\)  =  \(\large{\frac{H-A}{m^2}}\)  =  \(\large{\frac{Wb}{m^2}}\)  =  \(\large{\frac{kg}{C-s}}\)  =  \(\large{\frac{N-s}{C-m}}\)  =  \(\large{\frac{kg}{A-s^2}}\)
SI  \(kg-s^{-2}-A^{-1}\)

Torr

\((Torr)\)

English  -
Metric  \(Torr\)  =  \(Pa\)
SI  \(Pa\)

Volt

\((V)\)

English  \(V\)
Metric

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

  • eV = electronvolt
  • e = elementary charge
SI  \(kg-m^2-s^{-3}-A^{-1}\)

Watt

\((W)\), \(\;(P)\)

English  \(\large{\frac{lbf-ft^2}{ssec^3}}\)
Metric  \(W\)  =  \(\large{\frac{kg-m^2}{s^3}}\)  =  \(\large{\frac{J}{s}}\)  =  \(\large{\frac{N-m}{s}}\)
SI  \(kg-m^2-s^{-3}\)

Weber

\((Wb)\)

English  \(\large{\frac{V}{sec}}\)
Metric  \(Wb\)  =  \(\large{\frac{kg-m^2}{s^2-A}}\)  =  \(\large{\frac{N-m}{A}}\)  =  \(\large{\frac{J}{A}}\)  =  \(\Omega-C\)  =  \(V-s\)  =  \(H-S\)  =  \(T-m^2\)  =  \(10^8-Mx\)
SI  \(kg-m^2-s^{-2}-A^{-1}\)

 

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