cm/s to m/s Converter - Centimeter per Second to Meter per Second

Conversion derivation

Express both cm/s and m/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 m/s in the base unit

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

   Forward conversion

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

   Reverse conversion

   $$\begin{array}{rl}1m/s& =\frac{1\cancel{m/s}}{0.01\cancel{m/s}}\times 1cm/s\\ & =\frac{1}{0.01}cm/s\\ & =100cm/s\end{array}$$