Question

Two racing cars of masses m1 and m2 are moving in circles of radii r1 and r2 respectively. Their speeds are such that each makes a complete circle in the same time t. The ratio of the angular speeds of the first two to the second car will be ____________

(a) 1:1

(b) r1:r2

(c) m1:m2

(d) m1 m2:r1 r2

I have been asked this question in an internship interview.

This is a very interesting question from Translational and Rotational Motion topic in section System of Particles and Rotational Motion of Engineering Physics I

Answer 1

The correct answer is (a) 1:1

For explanation: ω=v/r=2π/T

As both cars take some time for one revolution, so ω  is same for both the cars.