Question

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

(a) m₁ r₁ : m₂ r₂

(b) m₁ : m₂

(c) r₁ : r₂

(d) 1 :1

Answer 1

Correct Option (c) r₁ : r₂

Explanation: 

As their period of revolution is same. so their angular speed is also same. Centripetal acceleration is circular path, a = ω² r.

       Thus,   a1/a2 = ω2r1ω2 r2 =  r1/r2