Calculating Power: Torque on a 20 Kg Rod Pivoted at 6m | 500 Rad Rotation

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To calculate the average power exerted by the motor on a 20 kg rod pivoted at its center, use the formula for power, P = τ * ω, where τ is torque and ω is angular velocity. The average power can be determined by finding the angular displacement and time taken for the rotation. For instantaneous power, calculate the angular velocity at the specific angle of 500 rad and apply the same power formula. The torque applied is 2400 Nm, which is crucial for both calculations. Understanding these formulas and their application is essential for solving the problem effectively.
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A 20 Kg slender rod pivoted at its center has a length of 6 m. A motor applied a torque of 2400 Nm on the rod to turn it from rest.
(a) Find the average power by the motor when the rod rotates an angle of 500 rad. _____________________
(b) Find the instantaneous power of the motor at the moment that the rod rotates an angle of 500 rad. ______________________

I am unsure how to start this.
 
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You should at least list some formulas you think you might need. For example, a formula for power at least.
 
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