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Two racing cars of masses 1m and 4m are moving in circles of radii r and 2r respectively. If their speeds are such that each makes a complete circle in the same time, then the ratio of the angular speeds of the first to the second car is:

1. 8 : 1
2. 4 : 1
3. 2 : 1
4. 1 : 1

Correct answer: 1 : 1

Solution

The time period for circular motion is the same for both cars. Angular speed is given by ω = 2π/T, where T is the time period. Since T is the same for both cars, their angular speeds are equal, making the ratio 1:1.

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