how many revolutions are completed by a top spinning with a constant angular velocity of 3pi radians during a 20 sec time interval

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Answer:

  30

Explanation:

Assuming the velocity is 3π radians per second, the top will spin through an angle of ...

  (3π radians/s)(20 s) = 60π radians

Since each revolution is 2π radians, that is ...

  (60π radians)/(2π radians/revolution) = 30 revolutions