When a diver gets into a tuck position by pulling in her arms and legs, she increases her angular speed. Before she goes into the tuck position, her angular velocity is $5\mathrm{.}5$ rad$/$s$,$ and she has a moment of inertia of

$1\mathrm{.}6$ kg $$ m$2.$

Once she gets into the tuck position, her angular speed is $12\mathrm{.}9$ rad$/$s$.$ Determine her moment of inertia, in kg $$ m$2,$ when she is in the tuck position. Assume the net torque on her is zero.

kg $$ m$2$