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 o
n 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?
We have given the acceleration of the cord is and acceleration due to gravity is there is a relation between the angular acceleration and the linear acceleration that is
Linear acceleration = angular acceleration × radius
We have given radius R = 10 cm =0.1 m
So here α is angular acceleration a is linear acceleration and R is radius