cm/s to in/s Converter - Centimeter per Second to Inch per Second

Conversion derivation

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

1. 1

   Rewrite cm/s in the base unit

   $$1cm/s=0.01m/s$$
2. 2

   Rewrite in/s in the base unit

   $$1in/s=0.0254m/s$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1cm/s& =\frac{0.01\cancel{m/s}}{0.0254\cancel{m/s}}\times 1in/s\\ & =\frac{0.01}{0.0254}in/s\\ & =0.393700787402in/s\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1in/s& =\frac{0.0254\cancel{m/s}}{0.01\cancel{m/s}}\times 1cm/s\\ & =\frac{0.0254}{0.01}cm/s\\ & =2.54cm/s\end{array}$$