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QUESTION: An electric motor is required to complete exactly 10000 revolutions from the start of its...

QUESTION:
An electric motor is required to complete exactly 10000 revolutions from the start of its motion to the end of its motion. Starting from rest the motor undergoes a constant angular acceleration of 120 rad s-2 for 6.00 s to reach its top angular velocity. It then remains at this top angular velocity for exactly 1 minute and is then brought to rest (constant angular retardation). Use an angular velocity-time diagram to help calculate the following:
1)Calculate the top angular velocity of the motor in RPM.
2) The total time taken to complete the motion from start to finish
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