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Physics Rotational Mechanics Level: High School

Rotational Kinematics

A merry go round is stationary . A dog is running on the ground just outside its circumference , moving with a constant angular speed of 0.750 rad/s . the dog does not change his pace when he sees what he has been looking ; 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 (t = 0) , the merry go round begins to move in the direction the dog is turning , with a constant angular acceleration of 0.0150 rad/s^2 .

a) at what time will the dog reach the bone ?

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 ?