A Chain, 10

Multiple Choice

A chain, 10.0 m in length and with a mass of 3.00 kg/m but negligible thickness, is wrapped around a spool with a radius of 25.0 cm and a moment of inertia (not including the chain) of 0.360 kg∙m². With 1.00 m of chain hanging over the side, the spool is released so that it can turn freely about its axle. What is the angular speed of the spool at the moment that 5.00 m of chain are hanging over the side?

A) 8.90 rad/s
B) 17.8 rad/s
C) 19.4 rad/s
D) 22.1 rad/s
E) 44.3 rad/s