A uniform disk of unknown mass M and radius R = 10 cm is free to rotate about its axis. A light cord is wrapped around the rim on the disk and then tied to a small can of mass m = 50 gm.

The cord does not slip as it unwinds on the disk. When released the can moves down with acceleration 3.27 m/s2. Take g = 9.81 m/s2.

What is the angular acceleration of the disk?

(a) 0 rad/s2

(b) 8.2 rad/s2

(c) 65.4 rad/s2

(d) 16.4 rad/s2

(e) 32.7 rad/s2