Question

Two particles having masses M & m are moving in a circular path having radii R & r respectively. If their time periods are same then the ratio of their angular velocities will be:
a)R/r
b)r/R
c)1

Answer 1

c) shall be answer because w depends only on time period T.

w=2π/T

as T is same, angular velocity is same and ratio is 1

Answer 2

Answer:

T=2π/omega

since,

angular velocity is independent of mass and radius

and time period is same

therefore,

ratio of their angular velocity would be 1