Question

Two cars having masses m₁ and m₂ move in circles of radii r₁ and r₂ respectively. If they complete the circles in equal time, the ratio of their angular speedsω₁ /ω₂ is 

(a) m₁/m₂ 

(b) r₁/r₂ 

(c) m₁r₁/m₂r₂ 

(d) 1.

Answer 1

The right answer is (d) 1.

Explanation: 

In completing a circle the angle covered is 2π what ever be the radius of the circle. The angular speed will be given by 2π/T where T is the time taken in covering the circle. In this case T is same for both cars, so both cars will have same angular speed ω = 2π/T . Hence ω₁/ω₂ =1