Problem 1-4| General Principles| Engineering Mechanics: Statics| RC Hibbeler


Represent each of the following combinations of units in the correct SI form using an appropriate prefix: (a) m/ms, (b) μkm, (c) ks/mg, and (d) km·μN.


Solution:

Part A

\displaystyle m/ms=\left(\frac{m}{10^{-3}\:s}\right)=10^3\:m/s=\:km/s

Part B

\displaystyle \mu km=10^{-6}\cdot 10^3\:m=10^{-3}\:m=mm

Part C

\displaystyle ks/mg=\frac{10^3\:s}{10^{-6}\:kg}=10^9\:\frac{s}{kg}=Gs/kg

Part D

\displaystyle km\cdot \mu N=10^3\:m\cdot 10^{-6}\:N\:=10^{-3}\:m\cdot N=mm\cdot N