A merry-go-round with a moment of inertia of 750 kgm2 and a radius of 2.55 m is rotating with an angular velocity of 9.42 rad/s clockwise (as viewed from above.) A child, whose weight is 334 N, runs at 2.76 m/s tangent to the rim of the merry-go-round and jumps onto it in the direction opposite of its sense of rotation. With what angular speed does the merry-go-round rotate after the child jumps onto its edge?

An athlete swings a ball, connected to the end of a chain, in a horizontal circle. the athlete is able to rotate the ball at the rate of 8.13 rev/s when the length of the chain is 0.600 m. when he increases the length to 0.900 m, he is able to rotate the ball only 6.04 rev/s. (a) which rate of rotation gives the greater speed for the ball? 6.04 rev/s 8.13 rev/s (b) what is the centripetal acceleration of the ball at 8.13 rev/s? m/s2 (c) what is the centripetal acceleration at 6.04 rev/s? m/s2