Skip to main content\(\require{cancel}\require{mhchem}\let\vecarrow\vec
\renewcommand{\vec}{\mathbf}
\newcommand{\ihat}{\vec{i}}
\newcommand{\jhat}{\vec{j}}
\newcommand{\khat}{\vec{k}}
\DeclareMathOperator{\proj}{proj}
\newcommand{\kg}[1]{#1~\mathrm{kg} }
\newcommand{\lbm}[1]{#1~\mathrm{lbm} }
\newcommand{\slug}[1]{#1~\mathrm{slug}}
\newcommand{\m}[1]{#1~\mathrm{m}}
\newcommand{\km}[1]{#1~\mathrm{km}}
\newcommand{\cm}[1]{#1~\mathrm{cm}}
\newcommand{\mm}[1]{#1~\mathrm{mm}}
\newcommand{\ft}[1]{#1~\mathrm{ft}}
\newcommand{\yd}[1]{#1~\mathrm{yd}}
\newcommand{\inch}[1]{#1~\mathrm{in}}
\newcommand{\mi}[1]{#1~\mathrm{mi}}
\newcommand{\N}[1]{#1~\mathrm{N} }
\newcommand{\kN}[1]{#1~\mathrm{kN} }
\newcommand{\MN}[1]{#1~\mathrm{MN} }
\newcommand{\lb}[1]{#1~\mathrm{lb} }
\newcommand{\lbf}[1]{#1~\mathrm{lbf} }
\newcommand{\Nm}[1]{#1~\mathrm{N}\!\cdot\!\mathrm{m} }
\newcommand{\kNm}[1]{#1~\mathrm{kN}\!\cdot\!\mathrm{m} }
\newcommand{\ftlb}[1]{#1~\mathrm{ft}\!\cdot\!\mathrm{lb} }
\newcommand{\ftlbf}[1]{#1~\mathrm{ft}\!\cdot\!\mathrm{lbf} }
\newcommand{\inlb}[1]{#1~\mathrm{in}\!\cdot\!\mathrm{lb} }
\newcommand{\lbperft}[1]{#1~\mathrm{lb}/\mathrm{ft} }
\newcommand{\lbperin}[1]{#1~\mathrm{lb}/\mathrm{in} }
\newcommand{\Nperm}[1]{#1~\mathrm{N}/\mathrm{m} }
\newcommand{\kgperkm}[1]{#1~\mathrm{kg}/\mathrm{km} }
\newcommand{\psinch}[1]{#1~\mathrm{lb}/\mathrm{in}^2 }
\renewcommand{\psi}[1]{#1~\mathrm{psi} }
\newcommand{\pqinch}[1]{#1~\mathrm{lb}/\mathrm{in}^3 }
\newcommand{\psf}[1]{#1~\mathrm{lb}/\mathrm{ft}^2 }
\newcommand{\pqf}[1]{#1~\mathrm{lb}/\mathrm{ft}^3 }
\newcommand{\Nsm}[1]{#1~\mathrm{N}/\mathrm{m}^2 }
\newcommand{\kgsm}[1]{#1~\mathrm{kg}/\mathrm{m}^2 }
\newcommand{\kgqm}[1]{#1~\mathrm{kg}/\mathrm{m}^3 }
\newcommand{\Pa}[1]{#1~\mathrm{Pa} }
\newcommand{\kPa}[1]{#1~\mathrm{kPa} }
\newcommand{\aSI}[1]{#1~\mathrm{m}/\mathrm{s}^2 }
\newcommand{\aUS}[1]{#1~\mathrm{ft}/\mathrm{s}^2 }
\newcommand{\mps}[1]{#1~\mathrm{m/s} }
\newcommand{\mph}[1]{#1~\mathrm{mi/hr} }
\newcommand{\unit}[1]{#1~\mathrm{unit} }
\newcommand{\ang}[1]{#1^\circ }
\newcommand{\second}[1]{#1~\mathrm{s} }
\newcommand{\minute}[1]{#1~\mathrm{min} }
\newcommand{\hr}[1]{#1~\mathrm{hr} }
\newcommand{\lt}{<}
\newcommand{\gt}{>}
\newcommand{\amp}{&}
\definecolor{fillinmathshade}{gray}{0.9}
\newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}}
\)
Subsection 2.4.3 Unit Conversions
Mass in one unit can easily converted to other units by using simple conversion factors. Some important mass relations to remember are:
\begin{align*}
1 \mathrm{\ kg} \amp= 1000 \mathrm{\ g}\\
1 \mathrm{\ kg} \amp= 2.205 \mathrm{\ lb}\\
1 \mathrm{\ metric\ ton\ (tonne)} \amp= 1000 \mathrm{\ kg}\\
1 \mathrm{\ lb} \amp= 16 \mathrm{\ oz}\\
1 \mathrm{\ (short)\ ton} \amp= 2000 \mathrm{\ lb}
\end{align*}
Example 2.4.1. Mass Conversion 1.
Convert 2 metric tons to pounds.
Answer.
\begin{equation*}
m = \lb{4410}
\end{equation*}
Solution.
\begin{equation*}
m = 2 \mathrm{\ tonne\ } \times \left[\frac{\kg{1000}}{1\mathrm{\ tonne\ }} \right] \left[\frac{\lb{2.205}}{\kg{1}} \right] = \lb{4410}
\end{equation*}
Example 2.4.2. Mass Conversion 2.
Convert 600 oz to kg.
Answer.
\begin{equation*}
m = \kg{17}
\end{equation*}
Solution.
\begin{equation*}
m = 600 \mathrm{\ oz\ } \times \left[\frac{\lb{1}}{16 \mathrm{\ oz\ }} \right] \left[\frac{\kg{1}}{\lb{2.205}} \right] = \kg{17}
\end{equation*}
