What is the relation between linear velocity and angular velocity

The relation between linear velocity and angular velocity is that.
Linear Velocity....as the name implies....deals with speed in a straight line, the units are often km/hr or m/s or mph (miles per hour).
(Linear Velocity (v) = change in distance/change in time
v = ^d/^t
Angular Velocity....as the name implies...deals with speed through an angle, or in a circular motion, the units are often radians per second or degrees per second.
[Angular Velocity (w) = change in rotation / change in time
w = ^0 / ^t
To relate the two types of velocity to each other, we can use the following relationship:
v = rw
where r = radius.

Thanks and Regards

Apoorva Arora

IIT Roorkee

askIITians Faculty