Question

if a point moves along a circle with constant speed , ratio of its angular speed

Answer 1

Let particle move from point A to B on the circumference of the circle in time t. As shown in fig. arc AB makes angle AOB=theta+ beta. From the figure theta=2(phi) and beta=2(alpha).

The angular velocity about center O is

w=(theta+beta)/t…………………..(1)

Thus, w=2(alpha+phi)………………(2)

But, angular velocity about P is

w’=(alpha+phi)………………………..(3)

From (2) and (3),

w=2w’

Answer 2

2 ( omega )

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