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Two racing cars of masses \(m_1\) and \(m_2\) travel in circles of radii \(r_1\) and \(r_2\), respectively. Both complete one full revolution in the same time period \(t\). What is the ratio of the angular speed of the first car to the second car?

1. m1: m2
2. r1: r2
3. 1: 1
4. m1*r1: m2*r2

Correct answer: 1: 1

Solution

Angular speed is \(\omega = \frac{2\pi}{T}\). Since both cars take the same time period \(t\) for one revolution, their angular speeds are equal, so the ratio is 1:1.

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