A cylinder of 3.0 kg, 14 cm radius, primarily at rest, is free to rotate about the axis of the cylinder. A rope of negligible mass is wrapped about it and pulled with a force of 18 N.
(i) Determine the magnitude of the torque applied by the rope.
(ii) Determine the angular acceleration of the cylinder.
(iii) Determine the angular velocity of the cylinder at t = 1.40 s.