km/h to m/s Converter - Kilometer per Hour to Meter per Second

Conversion derivation

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

1. 1

   Rewrite km/h in the base unit

   $$1km/h=0.277778m/s$$
2. 2

   Rewrite m/s in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1km/h& =\frac{0.277778\cancel{m/s}}{1\cancel{m/s}}\times 1m/s\\ & =\frac{0.277778}{1}m/s\\ & =0.277778m/s\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1m/s& =\frac{1\cancel{m/s}}{0.277778\cancel{m/s}}\times 1km/h\\ & =\frac{1}{0.277778}km/h\\ & =3.59999712km/h\end{array}$$