What is the approximate time required for the clutch to, Mechanical Engineering

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What is the approximate time required for the clutch to

A 4:1 ratio gear reducer attached to a diesel engine is coupled with a friction clutch to a machine having a mass moment of inertia of 10 lb ft s² . Assume that the clutch is controlled so that during its engagement the engine operates continuously at 2200 rpm, delivering a torque of 115 lb ft.

(a) What is the approximate time required for the clutch to accelerate the driven machine from rest to 550 rpm?

(b) How much energy is delivered to the driven machine in increasing the speed to 550 rpm?

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