A merry-go-round is stationary. A dog is running on the ground just outside its

Question

A merry-go-round is stationary. A dog is running on the ground just outside its circumference, moving with a constant angular speed of 0.810 rad/s. The dog does not change his pace when he sees a bone resting on the edge of the merry-go-round one-third of a revolution in front of him. At the instant the dog sees the bone, the merry-go-round begins to move in the direction the dog is running, with a constant angular acceleration of 0.0120 rad/s2. (a) After what time will the dog reach the bone? ______s (b) The confused dog keeps running and passes the bone. How long after the merry-go-round starts to turn do the dog and the bone draw even with each other for the second time? _____s

Explanation / Answer

a) hera a = 0.0120 rad/sec^2 w1 = 0.810, theta = 2pi/3 w2 = [0.810^2 - 2*0.0120*2pi/3]^0.5 =>t = [w2-w1]/0.0120...solve and get the answer

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