can someone help me on problems b and c? I alresdy got a right,but b and c the a

Question

can someone help me on problems b and c? I alresdy got a right,but b and c the answer was wrong.

A 2.6-kg 10-cm-radius cylinder, initially at rest, is free to rotate about the axis of the cylinder. A rope of negligible mass is wrapped around it and pulled with a force of 18 N.

can someone help me on problems b and c? I already got a right, but b and c the answer was wrong. A 2.6-kg 10-cm-radius cylinder, initially at rest, is free to rotate about the axis of the cylinder. A rope of negligible mass is wrapped around it and pulled with a force of 18 N. Find the magnitude of the torque exerted by the rope. Find the angular acceleration of the cylinder. Find the angular velocity of the cylinder at t = 1.60 s.

Explanation / Answer

mass of the cylinder m = 2.6 kg radius of the cylinder r = 10 cm = 0.1 m force F = 18 N a) torque exerted by the rope is ? = F.r = (18 N)(0.10 m) = 1.8 N b) angular acceleration ? = ?/I where, moment of inertia of cylinder I = (1/2)mr2 above equation becomes , angular acceleration ? = 2?/(mr2) = (2)(1.8 N)/(2.6 kg)(0.1 m)2 = 138.46 rad/s2 c) time t = 1.6 s time t = 1.6 s for constant acceleration , from equation of rotational motion , ? = ?0 + ?t initial angular speed ?0 = 0 rad/s ? = 0 + (138.46 rad/s2 )(1.6 s) from equation of rotational motion , ? = ?0 + ?t initial angular speed ?0 = 0 rad/s ? = 0 + (138.46 rad/s2 )(1.6 s)

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