Question

A body moves with a uniform speed in a circular path of radius. What is the displacement of the body on covering $\frac{1}{4}$th of the revolution? Find the relation between the number of revolutions and the corresponding angle described.

Answer 1

One-fourth revolution is ${90}^0$ in angle.

So, displacement is distance between final and initial position.

So, $d=\sqrt{2}\ast r$

Also, one revolution is ${360}^0$

so, n revolutions = ${360}^0\ast n$