Uses of Dimensional analysis

State principle of hmogenity of dimensio and its use in dimensional analysis.

Using method of dimensional analysis show that 1 J = 10^7 erg.

A body of mass m is moving in a circle of radius r with angular velocity omega . Find an expression for the centripetal force f acting on it using method of dimensional analysis.

Using dimensional analysis, convert one joule into erg.

Convert 1N into dyne using dimensional analysis.