knot vers Mach convertisseur - Nœud vers Mach

Conversion derivation

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

1. 1

   Rewrite knot in the base unit

   $$1\mathrm{knot}=0.514444m/s$$
2. 2

   Rewrite Mach in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{knot}& =\frac{0.514444\cancel{m/s}}{343\cancel{m/s}}\times 1\mathrm{Mach}\\ & =\frac{0.514444}{343}\mathrm{Mach}\\ & =0.001499836735\mathrm{Mach}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{Mach}& =\frac{343\cancel{m/s}}{0.514444\cancel{m/s}}\times 1\mathrm{knot}\\ & =\frac{343}{0.514444}\mathrm{knot}\\ & =666.739236924\mathrm{knot}\end{array}$$