Statics 1-2: Expressing units in the correct SI form using an appropriate prefix | Hibbeler 14th


Represent each of the following combinations of units in the correct SI form using an appropriate prefix: (a) kN/μs, (b) Mg/mN, and (c) MN/(kg•ms).


Solution:

Part A

\displaystyle \text{kN}/\mu \text{s}=\frac{\left(10^3\right)\text{N}}{\left(10^{-6}\right)\text{s}}=10^9\:\text{N/s}=\text{GN/s}

Part B

\displaystyle \text{Mg/mN}=\frac{\left(10^6\right)\text{g}}{\left(10^{-3}\right)\text{N}}=10^9\:\text{g/N}=\text{Gg/N}

Part C

\displaystyle \text{MN}/\left(\text{kg}\cdot \text{ms}\right)=\frac{10^6\:\text{N}}{\text{kg}\cdot \left(10^{-3}\right)\text{s}}=10^9\:\frac{\text{N}}{\text{kg}\cdot \text{s}}=\text{GN}/\left(\text{kg}\cdot \text{s}\right)