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 to the second car is

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(3) 1:1. Given: two cars each completing one circle in the same time t. Idea: angular speed counts the angle swept per unit time, and a complete circle is 2π radians for both. ω=(2π)/t. The same t gives the same ω for both cars. The ratio is 1:1. Their linear speeds v=ω r do differ, being in the ratio r₁:r₂.

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 to the second car is

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