Question: As steam is slowly injected into a turbine, the angular acceleration of the rotor is observed to increase linearly with the time t. Knowing that

As steam is slowly injected into a turbine, the angular acceleration of the rotor is observed to increase linearly with the time t. Knowing that the rotor starts from rest at t = 0 and that after 10 s the rotor has completed 20 revolutions, write the equations of motion for the rotor and determine

(a) The angular velocity at t = 20 s,

(b) The time required for the rotor to complete its first 40 revolutions.

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