A wheel has radius 10cm and it is coupled by a belt to another wheel of radius 30cm. The smaller wheel increases its speed from rest at uniform rate of π rad/s^2. The time after which the speed of larger wheel becomes 1000 rpm is…………………??
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The angular speed of the smaller wheel is 30/10 3 times angular speed of the larger wheel. _________________ If this isn't clear note that: Circumference of small wheel - 2π x 10 20π cm Circumference of larger wheel - 2π x 30 60π cm Imagine following a point on the belt. After 1 revolution of the small wheel, the point has moved a distance 20π cm. This corresponds to 1/3 of the circumference of the larger wheel - so the larger wheel has only move 1/3 of a revolution in the same time. _________________ When the larger wheel has a speed of 1000rpm, the smaller wheel has a speed of 3000 rpm. 3000 rpm (3000 / 60) rps 50 rps 50 x 2π rad/s 100π rad/s t change in angular speed/angular acceleration 100π/π 100s
