A 4.29 m length of light nylon cord is wound around a uniform cylindrical spool of radius 0.285 m and mass 0.736 kg. The spool is mounted on a frictionless axle and is initially at rest. The cord is pulled from the spool with a constant acceleration of magnitude 3.2 m/s 2
. How much work has been done on the spool when it reaches an angular speed of 6.06rad/s?
Assuming there is enough cord on the spool, how long does it take the spool to reach this angular speed? Answer in units of s.
