Question

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

Answer 1

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
$or \:$
$v = wr$
Here,
v is linear speed.
w is omega(or angular velocity).
r is radius of circle.

Answer 2

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Explanation:

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

Here,

v is linear speed.

w is omega(or angular velocity).

r is radius of circle.