The mass and radius of each wheel are 5.50000000000000 kg and 0.380000000000000000000000 m, respectively. Each

Question

The mass and radius of each wheel are 5.50kg and 0.38 m, respectively. Each wheel starts from rest and turns through an angle of 12 rad in 5.80 s. One wheel has the shape of a hoop and the other the shape of a solid disk.
(a1) What is the algebraic expression for the net external torque Στ that acts on a wheel? Express your answer in terms of the moment of inertia I and the angular acceleration α.
(b1) What is the net external torque Στ that acts on the hoop?
(c1) What is the net external torque Στ that acts on the solid disk?

Answer 1

α = 2*theta/t^2 = 0.7134 rad/s^2
a1. Στ = Iα
a2. I of hoop = mr^2; you can get Iα from this.
a3. I of disk = mr^2/2; you can get Iα from this.