A rope is wrapped around a wheel of diameter 50 centimeter. The wheel is mounted with frictionless bearings on an axle through its center. A block of 15 kilogram is suspended from the end of the rope. When the system is released from rest the block falls 5.0 meter in 2.0 second.
a. Calculate the linear acceleration of the falling block?
b. Find the angular acceleration of the wheel, assuming the rope does not slip on the wheel?
c. Calculate the tension in the rope?
d. Calculate the moment of inertia of the wheel? Note, this should be calculated from data in the problem and not from the formula for I of a disk or a hoop.