Question

define angular velocity and derive v=rw in detailed ste by step explanation

Answer 1

Angular velocity, also called rotational velocity, is a quantitative expression of the amount of rotation that a spinning object undergoes per unit time.
It is a vector quantity, consisting of an angular speed component and either of two defined directions or senses.

Circle of radius r,
Time for one circular motion is " t "s
Angular speed is w= 2π/t
Tangential velocity=v =2πr/t
this gives v= (2π/)*r
V = wr