km/h to Mach Converter - Kilometer per Hour to Mach

Conversion derivation

Express both km/h and Mach 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 Mach in the base unit

   $$1\mathrm{Mach}=343m/s$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1km/h& =\frac{0.277778\cancel{m/s}}{343\cancel{m/s}}\times 1\mathrm{Mach}\\ & =\frac{0.277778}{343}\mathrm{Mach}\\ & =0.000809848397\mathrm{Mach}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{Mach}& =\frac{343\cancel{m/s}}{0.277778\cancel{m/s}}\times 1km/h\\ & =\frac{343}{0.277778}km/h\\ & =1,234.79901216km/h\end{array}$$