Dievsky V.A. - Solution of task D2 variant 27 (D2-27)

D2-27 Dievskiy

To accelerate the rotation of the turbine, a torque is applied to it, which depends on the angular velocity of the turbine and the time: M = 1,2t / ω2. The initial angular velocity of the turbine is ω0 = 4 rad / s. The moment of inertia of the turbine relative to the axis of rotation is J = 0.2 kg m2. Determine the angular velocity of the turbine after 2 seconds after applying the torque.