m/s to Mach Converter - Meter per Second to Mach

Conversion derivation

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

1. 1

   Rewrite m/s in the base unit

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

   Rewrite Mach in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1m/s& =\frac{1\cancel{m/s}}{343\cancel{m/s}}\times 1\mathrm{Mach}\\ & =\frac{1}{343}\mathrm{Mach}\\ & =0.002915451895\mathrm{Mach}\end{array}$$
4. 4

   Reverse conversion

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