Question

Two particles having mass M and m are moving in
a circular path having radius R and r. If their time
periods are same, then the ratio of their angular
velocities will be
(1)ě
(3) 1​

Answer 1

Answer:

1

Explanation:

Angular Velocity = (Speed of an object) / (radius)

Angular Velocity = [ 2$\pi$ radius / (Time Period)] / (radius)

Angular Velocity = (2$\pi$ ) / (Time Period)

Angular Velocity = (2$\pi$)/ (T)

So, angular velocity is inversely proportional to Time Period.

For mass M with radius R,

Angular Velocity of M = $\frac{2\pi }{T}$

For mass m with radius r,

Angular Velocity of m = $\frac{2\pi }{T}$

Both are same.

So their ratio will be 1:1