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Two cars of masses m₁ and m₂ are moving in circles of radii r₁ and r₂, respectively. Their speeds are such that they make complete circles in the same time t. The ratio of their centripetal acceleration is

Asked in AIEEE 2012 · Circular motion: speed and acceleration

Answer: (2) r₁ : r₂

Step-by-step solution

Same period means the same ω = (2π)/t, and a = ω²r.

(a₁)/(a₂) = (r₁)/(r₂).

Why the other options are wrong

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