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A student is whirling a ball on a string in a circle with an angular speed of 20 rad/s.  Air drag decelerates the ball at a rate of -3 rad/s2.  What is the angular speed of the ball after it has spun through an angle of 30 radians? Remember to include units with your answer.

 

A disk is initially at rest.  If the disk speeds up uniformly to a speed of 45 rad/s in a time of 15 seconds, what angle does it turn through? Remember to include units with your answer.

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