Question

A particle is moving on the circular path of radius r with constant speed v. Find the change of velocity of the particle, when it has angular displacement theta.

Answer 1

We know that angular velocity is given by,

ω = θ/t

Also, ω = v/r

∴ v = θr/t

Now, The Velocity of body is  θr/t. If we assume that the Initial velocity is 0, then change in velocity will be  θr/t.

But If we assume that Initial velocity is different, we then need to find the difference for change in velocity.

Hope it helps.