Question

Derive relation between linear velocity and angular velocity

Answer 1

velocity =Displacement/time and Angular velocity =Angular displacement/time taken

Answer 2

Angular velocity of a body is the rate of change of angular displacement over a period of time. The unit of angular velocity is rad/s.

Relation between linear velocity and angular velocity

v = ω × r

Let ω→ Uniform angular velocity of point object moving along PQ

v → Linear speed

r → Radius of circular path



Direction of velocity at any point in circular motion is directed along the tangent to the circle at that point in the direction of motion.