A physics student is sitting on a frictionless platform that is rotating with an angular speed of wi $=1\mathrm{.}1$ rad$/$s$.$ His arms are outstretched, and he is holding a heavy weight in each hand. The moment of inertia of the student, the extended weights, and the platform about the rotation axis is Ii $=10\mathrm{.}8$ kg$*$m$2.$ When the student pulls the weights inward toward his body, the moment of inertia decreases to If $=6\mathrm{.}4$ kg$*$m$2.$ What is the resulting angular speed, wf$,$ of the platform?