Steve Moldrup stands on a rotating platform that has an initial angular velocity of $3$ rad$/$srad$/$s $,$ where the positive vertical axis points upward. Including the platform, Steve's mass moment of inertia is $4\mathrm{.}0$ slug$$ft$2$slug$$ft$2.$ Steve holds a spinning bicycle wheel with its axis horizontal. The wheel has a mass moment of inertia of $0\mathrm{.}15$ slug$$ft$2$slug$$ft$2$ and an angular velocity of $16$ rad$/$srad$/$s $.$ Neglect the internal friction of the rotating platform

Determine the angular velocity of the platform when the wheel is turned so the axis points straight up$.$