Difficult# Angular Acceleration of Bicycle Wheel

APPH12-YDHFTE

A force of $5\text{ N}$ is applied to the bicycle wheel ($m = 5\text{ kg}$; $r=0.40\text{ m}$) currently moving clockwise with an initial angular velocity of $15\text{ rad/s}$ as shown in the image below.

If this force is applied for $15\text{ s}$, what is the final angular velocity of the wheel?