cm/s to mph Converter - Centimeter per Second to Mile per Hour

Conversion derivation

Express both cm/s and mph in the same base unit m/s (meter per second), then cancel the shared base unit.

1. 1

   Rewrite cm/s in the base unit

   $$1cm/s=0.01m/s$$
2. 2

   Rewrite mph in the base unit

   $$1\mathrm{mph}=0.44704m/s$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1cm/s& =\frac{0.01\cancel{m/s}}{0.44704\cancel{m/s}}\times 1\mathrm{mph}\\ & =\frac{0.01}{0.44704}\mathrm{mph}\\ & =0.022369362921\mathrm{mph}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{mph}& =\frac{0.44704\cancel{m/s}}{0.01\cancel{m/s}}\times 1cm/s\\ & =\frac{0.44704}{0.01}cm/s\\ & =44.704cm/s\end{array}$$