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A baggage carousel at an airport is rotating with an angular speed of 0.27 rad/s when the baggage begins to be loaded onto it. The moment of inertia of the carousel is 1300.0 kgm2. Ten pieces of baggage with an average mass of 16.0 kg each are dropped vertically onto the carousel and come to rest at a perpendicular distance of 2.10 m from the axis of rotation.

(a) Assuming that no net external torque acts on the system of carousel and baggage, find the final angular speed.

(b) In reality, the angular speed of a baggage carousel does not change. Therefore, what must be the external torque acting on the system if ten bags are dropped each minute?

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