A uniform disk with mass m = 8.54 kg and radius R = 1.35 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 333 N at the edge of the disk on the +x-axis, 2) a force 333 N at the edge of the disk on the –y-axis, and 3) a force 333 N acts at the edge of the disk at an angle θ = 39° above the –x-axis.

1)What is the magnitude of the torque on the disk about the z axis due to F1?
449.55

2)What is the magnitude of the torque on the disk about the z axis due to F2?
0

3)What is the magnitude of the torque on the disk about the z axis due to F3?
349.365697

4)What is the x-component of the net torque about the z axis on the disk?
0

5)What is the y-component of the net torque about the z axis on the disk?
0

6) What is the z-component of the net torque about the z axis on the disk?
100.184303

7)What is the magnitude of the angular acceleration about the z axis of the disk?
12.87372622

8)If the disk starts from rest, what is the rotational energy of the disk after the forces have been applied for t = 1.6 s? (disk is starting from stop)

All above answers are correct I'm just having trouble figuring out 8
Please help! thanks!

1 answer

The rotational energy of the disk after the forces have been applied for t = 1.6 s is 8.845 J.