The 75-kg flywheel has a radius of gyration about its shaft axis of k = 0.50 m and is su...

The 75-kg flywheel has a radius of gyration about its shaft axis of k = 0.50 m and is subjected to the torque M = 10(1 − e^−t) N·m, where t is in seconds. If the flywheel is at rest at time t = 0, determine its angular velocity ω at t = 3 s.