ft/s to Mach Converter - Foot per Second to Mach

Conversion derivation

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

1. 1

   Rewrite ft/s in the base unit

   $$1ft/s=0.3048m/s$$
2. 2

   Rewrite Mach in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1ft/s& =\frac{0.3048\cancel{m/s}}{343\cancel{m/s}}\times 1\mathrm{Mach}\\ & =\frac{0.3048}{343}\mathrm{Mach}\\ & =0.000888629738\mathrm{Mach}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{Mach}& =\frac{343\cancel{m/s}}{0.3048\cancel{m/s}}\times 1ft/s\\ & =\frac{343}{0.3048}ft/s\\ & =1,125.32808399ft/s\end{array}$$