The flywheel shown in the figure above has a radius r = 0.15 m, a mass of M = 75 kg, and a radius of gyration k = 0.2 m. As it rotates, it lowers a mass m = 15 kg by means of an inextensible cord wrapped around the periphery of the flywheel. If the mass is initially descending at v = 1.1 m/s, determine the angular speed of the flywheel after 6 seconds.