Question

Derive the relation between linear velocity and angular velocity in a uniform circular motion ?​

Answer 1

Answer:

The relationship between linear speed and angular velocity is the product of angular velocity(Φ/t) and radius equals to linear speed.

So,

Linear speed= angular velocity X radius

Therefore, v = wr

Here,

v is linear speed.

w is omega(or angular velocity).

r is radius of circle

Answer 2

Answer:

The greater the rotation angle in a given amount of time, the greater the angular velocity. Angular velocity ω is analogous to linear velocity v. We can write the relationship between linear velocity and angular velocity in two different ways: v=rω or ω=v/r.