Define the term couple and moment of couple.Derive the expression for the work done by a couple

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1.)Show that in rotational motion,power is the product of torque and angular velocity

2.) The angular velocity of a wheel increases from 1200 to 4500 rev/min in 10 sec.Compute its angular acceleration and number of revolution during this time.

3.) Define torque.A wrench of longer arm is preffered than a wrench of shorter arm,why?explain.

 4) A flywheel of a gasoline engine is required to give up 500J of kinetic energy while its angular velocity decreases from 650 rev/min to 520 rev/min.What moment of inertia is required? 

5.) Establish the relation between torque and angular acceleration of rigid body

6.) State and prove the principle of conservation of angular momentum