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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. The ratio of the angular speeds of the first to the second car is:

1. 1 : 1
2. m₁ : m₂
3. r₁ : r₂
4. m₁r₁² : m₂r₂²

Correct answer: 1 : 1

Solution

The angular speed (ω) is given by ω = 2π/T, where T is the time period. Since both cars complete a circle in the same time, their angular speeds are equal, making the ratio 1:1.

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