7.4: Unit Conversion Factors
- Page ID
- 44559
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)| 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 \(g = 9.805 \ m/s^2\)