The wheel on a road bike has a mass of 1.00 kg and a diameter of 60.0 cm (assume all the mass is in the rim). A mechanic is checking the alignment of the wheel and gives it a quick spin; it completes 5 rotations in 2.50 s. To bring the wheel to rest, the mechanic gently applies the disk brakes, which squeeze pads against the metal disk connected to the wheel. The pads touch the disk 6.00 cm from the axle, and the wheel slows down and stops in 1.50 s. Required:
a. What is the angular velocity of the wheel before they apply the brakes?
b. When the mechanic applies the brakes to stop the wheel, what is the value of the torque caused by the brakes?
c. What is the magnitude of the force that the brakes supplied? (Assume they apply a force perpendicular to the radius of the disc)