Question

Question #a8a63

Answer 1

It is very easy to prove the relation.

Explanation:

`v=(displacement)/(time)`
Considering the body has travelled the full cicumference of the circle,

`v=(2piR)/T m*s^(-1)` .............(i)

Angular velocity is number of radians travelled per second so, for a full round,

`omega=(2pi)/T rad*s^(-1)` ...............(ii)

replacing (ii) in (i),

`v=omegaR`

Hence proved.