Question

Two bodies move in two concentric circular paths of radii r1 and r2 with same time period . What is the ratio of their angular velocities?


Best answer will be remarked as brain list .

Answer 1

Angular velocity is independent of the radius angular and it depends angular displacement with respect to the time. So the ratio is 1 is to 1

Answer 2

Answer:

1:1

Explanation:

Sorry I don't have Greek letters on my keyboard so Imma use the following keys:

w=omega(angular velocity)

p=pi(3.14 or 22/7)

So it is given that the two bodies, say A and B are moving in two concentric circular paths of radii r1 and r2, and they have the same time period.

We know that Time period(T) = 2p/w (2 pi by omega) =>(1)

let w1 = angular velocity of A and w2 = angular velocity of B

It is given that,

T of A = T of B

=> 2p/w1 = 2p/w2 [from(1)]

=> w1 = w2

Therefore, since both their angular velocities are equal, their ratio will be 1:1.

Hope you understood....