A winch is driven by a "Belt Drive System" as shown in the following figure. The large pulley $($Driven Pulley$)$ and winding drum have a combined mass moment of inertia $I_{L_{-}\text{P}\text{u}\text{l}\text{l}\text{e}\text{y}+\text{D}\text{r}\text{u}\text{m}}=1\mathrm{.}165ftlb{s}^2.$ Pulley $"$B$"$ is attached to the "drive motor" which applies a torque of $T_M=40lbft$ to this pulley. Determine the speed of the $250lb$ crate after the motor has made $5$ revolutions starting from rest. Assume the mass of the pulley $"$B$"$ is negligible $($i$.$e$.I_B=0).$

Answer: Vcrate$=3\mathrm{.}129$ft$/$s