mph to m/s Converter - Mile per Hour to Meter per Second

Conversion derivation

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

1. 1

   Rewrite mph in the base unit

   $$1\mathrm{mph}=0.44704m/s$$
2. 2

   Rewrite m/s in the base unit

   $$1m/s=1m/s$$
3. 3

   Forward conversion

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

   Reverse conversion

   $$\begin{array}{rl}1m/s& =\frac{1\cancel{m/s}}{0.44704\cancel{m/s}}\times 1\mathrm{mph}\\ & =\frac{1}{0.44704}\mathrm{mph}\\ & =2.23693629205\mathrm{mph}\end{array}$$