Assignment:
You are to design a rotating cylindrical axle to lift 800-N buckets of cement from the ground to a rooftop 78.0 m above the ground. The buckets will be attached to a hook on the free end of a cable that wraps around the rim of the axle; as the axle turns, the buckets will rise.
1. What should the diameter of the axle be in order to raise the buckets at a steady 2.00 cm/s when it is turning at 7.5 rpm? (answer in cm)
2. If instead the axle must give the buckets an upward acceleration of 0.400m/s^2, what should the angular acceleration of the axle be? (answer in rad/s^2)
Provide complete and step by step solution for the question, use formulas.