Thank you for your help! The next three questions pertain to the situation descr

Question

Thank you for your help!

The next three questions pertain to the situation described below A rope is attached to and wrapped around a disk of radius 2 m and mass 6 kg The rope is pulled with a force of 6 N such that the force is applied tangentially to the disk. Haik MR/2) 20) What is the torque on the wheel due to the rope? 3 Nm b. 12 Nm c. 6 Nm 21) What is the resulting angular acceleration of the disk? 0.25 rad/s2 b1 rad/s2 c. 0.5 rad/s2 22) What is the work done in rotating the disk through one complete revolution? a, 24 J b. 38 J 75 J

Explanation / Answer

Torque = Fr = 6×2= 12 J

I = MR^2/2= 6 × 2×2/2= 12

Torque = I × angular acceleration

So angular acceleration = 12/12 = 1 rad/s^2

Work done = torque × angular displacement

Work done =12 × 2 × pi = 12 × 2 × 3.14= 75J

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