Question

two circles of m1 and m2 move in circles of radii r1 and r2. They make complete circle in same time t. what will be the ratio of angular speed of the first particle to the second particle?

Answer 1

Answer:

Angular velocity is the rate of change of angular displacement with time.

Given that both the cars complete one circle in the same time 't'

Angular speed =ω=

Time Taken(t)

angle subtended by the car for one revolution(2π)

Angular speed of first car,=ω

1 = t2π

Angular speed of second car,=ω

2 = t2π

The ratio of angular speed of first car to that of second = ω 2

ω 1 =1:1