Two cars having masses m1 and m2 move in circles of radii r1 and r2 respectively. If they complete the circle in equal time, the ratio of their angular speeds ω12 is

To complete one single circle the angle that has to be covered is 2π irrespective of radius. The angular speed will be 2π /T, where T is the time taken to complete one circular motion. Now, here T is same for both the cars hence both the cars will have same angular speed ω = 2π/T. Therefore, ω12 = 1.

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