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A 50 kg solid disk (I = ½ mr2) with a radius of r starts from...

  1. A 50 kg solid disk (I = ½ mr2) with a radius of r starts from rest and rotates about an axis through its center. It takes 30 rotations to reach an angular velocity of ω.

Let ω = 24 rad/s
Let r = 2.8 m
Let θ = 32°

  1. What is the disk’s angular acceleration? (4 pts)
  2. How much time does it take to reach the final velocity? (4 pts)
  3. What is the net torque on the disk during the acceleration? (4 pts)
  4. If the net torque is caused by a single force applied at an angle of θ to the rim of the disk, what is the magnitude of that force? (4 pts)
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