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Question: Two racing cars of masses \(m_{1}\) and \(m_{2}\) are moving in circles of radii \(r_{1}\) and \(r_{...

Two racing cars of masses m1m_{1} and m2m_{2} are moving in circles of radii r1r_{1} and r2r_{2} respectively. Their speeds are such that each makes a complete circle in the same duration of time tt. The ratio of the angular speed of the first to the second car is

A

m1:m2m_{1}:m_{2}

B

r1:r2r_{1}:r_{2}

C

1 : 1

D

m1r1:m2r2m_{1}r_{1}:m_{2}r_{2}

Answer

1 : 1

Explanation

Solution

As time periods are equal therefore ratio of angular speeds will be same. ω=2πT\omega = \frac{2\pi}{T}