A student sits on a rotating stool holding two $2\mathrm{.}7$kg objects. When his arms are extended horizontally, the objects are $1\mathrm{.}08$m from the axis of rotation and he rotates with an angular speed of $0\mathrm{.}6$rads. $$The moment of inertia of the student plus stool is $3\mathrm{.}2$kgm$2$and is assumed to be constant. The student then pulls in the objects horizontally to $0\mathrm{.}3$m from the rotation axis.

Find the new angular speed of the student.

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Find the change in rotational energy:

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