Question

A bowling ball of mass 7.5 kg and radius 9.0 cm rolls without slipping 10 m down a lane at 4.3 m/s. (a) calculate the angular displacement of the bowling ball. (b) calculate the angular velocity of the bowling ball. (c) calculate the radial acceleration of the bowling ball. (d) calculate the tangential acceleration of the bowling ball.

Answer 1

Mass of ball m = 7.5 kg Radius of ball r = 9.0 cm = 0.09 m Distance rolled s = 10 m Speed V = 4.3 m/s Angular Displacement D = Distance rolled / Radius of ball = 10 / 0.09 = 111.1 rad Angular Velocity w = Speed / Radius of ball = 4.3 / 0.09 = 47.77 rad/ s Radial acceleration = r x w^2 = 0.09 x 47.77^2 = 205.44 m/s^2 Tangential acceleration = 0 as there was no deviation or skidding of the ball and the travel was inward.