physics
posted by Anonymous .
A merrygoround is stationary. A dog is running on the ground just outside its circumference, moving with a constant angular speed of 0.705 rad/s. The dog does not change his pace when he sees what he has been looking for: a bone resting on the merrygoround one third of a revolution in front of him (which means the dog has to move for additional 2/3Pi angular displacement before reaching the bone.) At the instant the dog sees the bone (t = 0), the merrygoround begins to move in the direction the dog is running, with a constant angular acceleration of 0.0135 rad/s2. At what time will the dog reach the bone?
Hint: use rotational kinematics equations for both, dog and the merrygoround and set them equal to each other  this means the dog has reached the bone. Then solve it for time, t.
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