Represent each of the following as a number between 0.1 and 1000 using an appropriate prefix: (a) 45 320 kN, (b) 568(105) mm, (c) 0.00563 mg.
Statics of Rigid Bodies 14th by RC Hibbeler, Problem 1-5
Solution:
Part A
\begin{align*}
45 \ 320 \ \text{kN} & = 45.3 \times 10^3 \ \text{kN}\\
& = 45.3\times 10^3\times 10^3 \ \text{N}\\
& = 45.3 \times 10^6 \ \text{N}\\
& = 45.3 \ \text{MN}
\end{align*}Part B
\begin{align*}
568\left( 10^5 \right)\ \text{mm} & =568\left( 10^5 \right)\times 10^{-3} \ \text{m}\\
& = 568\times 10^2 \ \text{m} \\
& = 56.8 \times 10^3 \ \text{m}\\
& = 56.8 \ \text{km}
\end{align*}Part C
\begin{align*}
0.00563 \ \text{mg} & = 5.63\times 10^{-3} \ \text{mg}\\
& = 5.63\times 10^{-3}\times 10^{-3} \ \text{g}\\
& = 5.63\times 10^{-6} \ \text{g}\\
& = 5.63 \ \mu\text{g}
\end{align*}
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