How to prove relation between linear and angular velocity?

1.	How to prove relation between linear and angular velocity?
Answer» ANSWER: for a given angular velocity ω, the linear velocity v of the PARTICLE is directly proportional to the distance of the particle from the centre of the circular path (i.e) for a body in a UNIFORM circular motion, the angular velocity is the same for all points in the body but linear velocity is different FORM

Answer»

for a given angular velocity ω, the linear velocity v of the PARTICLE is directly proportional to the distance of the particle from the centre of the circular path (i.e) for a body in a UNIFORM circular motion, the angular velocity is the same for all points in the body but linear velocity is different FORM

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How to prove relation between linear and angular velocity?

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