Buckingham's Pi Theorem

If a Function $f$ has $n$ physical/geometric parameters with $m$ fundamental units. Then the entire physical behaviour can be expressed by $(m-n)$ non-dimensional parameters such that

$$f(a_1,a_2...a_n)=0$$

Can be written as 

$$f({\Pi }_1,{\Pi }_2...{\Pi }_{m-n})=0$$

Where ${\Pi }_i$ is the non-dimensional parameter

Solution Step