Question

establish a relation between linear velocity and angular velocity in a uniform circular motion​

Answer 1

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Linear velocity is linear displacement divided by time; angular velocity is angular displacement divided by time. Therefore, linear velocity is the measure of how fast something is changing in a straight line; angular velocity is the measure of how fast something is rotating.

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Answer 2

Answer:

Consider a particle moving with uniform circular motion in anticlock wise direction with centre O and radius r the particle cover an arc of length △s in time △t moving from A to B.

Hence the angular displacement is

△θ= r△s

Dividing both side by △t

△t△θ = r1 △t△s

In the time interval △t be infinitesimally small (△t→0), then

V=rω