Question

derive the relation b/w linear velocity and angular velocity

Answer 1

$\texttt{Hello}$

Realtion between angular and linear velocity is given below :

$\bold{v = r \omega}$

Answer 2

Linear velocity, v =displacement/time

Angular velocity,ω=ϴ/t, where  ϴ is angle and t is time.

Consider a body moving along the circumference of a circle of radius, r with a linear speed, v. AB is the path covered by it in a time, t.

Angle=arc/radius.

using the above relation, angular displacement, ϴ=AB/r

                                                                                 =AB=r ϴ

Divide by time,t⇒AB/t=r( ϴ/t)

                             v=rω