As a result of friction in the axel, the angular speed of a disk shape wheel with a mass of 1kg and a 20 cm radius changes with time according to where ω0 and are constants. The angular speed changes from 120 rad/s at t = 0 to 20 rad/s at t = 20 s.
a. Use this information to determine and 0.
b. Determine the magnitude of the angular acceleration as a function of t.
c. Determine number of revolutions the wheel makes before reaching an angular velocity equal to 0.1 ω0
d. The equation for the torque done by friction as a function of time on the wheel.