Skip to main content
Engineering LibreTexts

7.4: Unit Conversion Factors

  • Page ID
    44559
  • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)

    \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)

    \( \newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\)

    ( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\)

    \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)

    \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\)

    \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)

    \( \newcommand{\Span}{\mathrm{span}}\)

    \( \newcommand{\id}{\mathrm{id}}\)

    \( \newcommand{\Span}{\mathrm{span}}\)

    \( \newcommand{\kernel}{\mathrm{null}\,}\)

    \( \newcommand{\range}{\mathrm{range}\,}\)

    \( \newcommand{\RealPart}{\mathrm{Re}}\)

    \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)

    \( \newcommand{\Argument}{\mathrm{Arg}}\)

    \( \newcommand{\norm}[1]{\| #1 \|}\)

    \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)

    \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\AA}{\unicode[.8,0]{x212B}}\)

    \( \newcommand{\vectorA}[1]{\vec{#1}}      % arrow\)

    \( \newcommand{\vectorAt}[1]{\vec{\text{#1}}}      % arrow\)

    \( \newcommand{\vectorB}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)

    \( \newcommand{\vectorC}[1]{\textbf{#1}} \)

    \( \newcommand{\vectorD}[1]{\overrightarrow{#1}} \)

    \( \newcommand{\vectorDt}[1]{\overrightarrow{\text{#1}}} \)

    \( \newcommand{\vectE}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{\mathbf {#1}}}} \)

    \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)

    \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)

    Density \(\begin{array} {rcrl} {1\ Mg/m^3} & = & {1} & {gm/cm^3} \\ {} & = & {62.42} & {lb/ft^3} \\ {} & = & {0.03613}& {lb/in^3} \\ {} & = & {102.0} & {N/m^3} \end{array}\)
    Energy \(\begin{array} {rcrl} {1\ J} & = & {0.2390} & {calorie} \\ {} & = & {9.45 \times 10^{-4}} & {Btu} \\ {} & = & {10^7} & {erg} \\ {} & = & {0.7376} & {ft-lb} \\ {} & = & {6.250 \times 10^{18}} & {ev}\end{array}\)
    Force \(\begin{array} {rcrl} {1\ N} & = & {10^5} & {d\ (dyne)} \\ {} & = & {0.2248} & {lbf} \\ {} & = & {0.1020} & {kg} \\ {} & = & {3.597} & {oz} \\ {} & = & {1.124 \times 10^{-4}} & {ton\ (2000lb)} \end{array}\)
    Length \(\begin{array} {rcrl} {1\ m} & = & {39.37} & {in} \\ {} & = & {3.281} & {ft} \\ {} & = & {10^{10}} & {\dot{A}} \end{array}\)
    Mass \(\begin{array} {rcrl} {1\ kg} & = & {2.205} & {lb} \\ {} & = & {35.27} & {oz} \\ {} & = & {1.102 \times 10^{-3}} & {ton\ (2000lb)} \end{array}\)
    Power \(\begin{array} {rcrl} {1\ W} & = & {1} & {J/s} \\ {} & = & {0.7378} & {ft-lb/s} \\ {} & = & {1.341 \times 10^{-3}} & {hp} \end{array}\)
    Stress \(\begin{array} {rcrl} {1\ Pa} & = & {1} & {N/m^2} \\ {} & = & {10} & {d/cm^2} \\ {} & = & {1.449 \times 10^{-4}} & {psi} \\ {} & = & {1.020 \times 10^{-7}} & {kg/mm^2} \end{array}\)
    Toughness \(1\ MPa \sqrt{m} = 0.910\ ksi\sqrt{in}\)

    Physical constants:

    Boltzman constant \(k = 1.381 \times 10^{-23}\ J/K\)

    Gas constant \(R = 8.314\ J/mol-K\)

    Avogadro constant \(N_A = 6.022 \times 10^{23} \ /mol\)

    Acceleration of gravity \(g = 9.805 \ m/s^2\)


    This page titled 7.4: Unit Conversion Factors is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by David Roylance (MIT OpenCourseWare) via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.