The moment of inertia of a uniform-density disk rotating about an axle through its center can be shown to be . This result is obtained by using integral calculus to add up the contributions of all the...

The moment of inertia of a uniform-density disk rotating about an axle through its center can be shown to be . This

result is obtained by using integral calculus to add up the contributions of all the atoms in the disk. The factor of 1/2

reflects the fact that some of the atoms are near the center and some are far from the center; the factor of 1/2 is an average

of the square distances. A uniform-density disk whose mass is 16 kg and radius is 0.15 m makes one complete rotation

every 0.5 s.

(a) What is the moment of inertia of this disk?

(b) What is its rotational kinetic energy?

(c) What is the magnitude of its rotational angular momentum?