The flywheel of a small punching machine rotates at 360 rpm. Each punching operation requires 2034 J of work and it is desired that the speed of the flywheel after each punching be not less that 95 percent of the original speed.

(a) Determine the required moment of inertia of the flywheel.

(b) If a constant 24.4 N ⋅ m couple is applied to the shaft of the flywheel, determine the number of revolutions that must occur between two successive punching, knowing that the initial velocity is to be 360 rpm at the start of each punching.