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A 4.00-m length of light nylon cord is wound around a uniform cylindrical spool of radius 0.500 m and mass 1.00 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 2.86 m/s2.

(a) How much work has been done on the spool when it reaches an angular speed of 7.10 rad/s?

(b) How long does it take the spool to reach this angular speed?

(c) How much cord is left on the spool when it reaches this angular speed?

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