Question

A length of light nylon cord is wound around
a uniform cylinder of radius 0.531 m and mass
0.696 kg. The cylinder is mounted on a frictionless axle and is initially at rest. The cord
is pulled from the cylinder with a constant
force of magnitude 4.66 N.
How fast will the spool be rotating after the
string has been pulled for
t = 3.29 s?
The moment of inertia of the cylinder is
I =.5 mr^2
Answer in units of rad/s