Consider a steering wheel, which is modeled as a hoop (I = M R2) of mass 2.9 kg and radius 0.35 m. A force is applied to the edge of

the wheel, tangent to it. The force depends on the angle of the wheel according to f(0) = 120 03, where the angle is measured in radians and the zero of angle is the initial orientation of the wheel. This force exerts a torque on the wheel which causes it to complete a half turn. What is the angular velocity of the wheel at the end of the half turn, in rad/s?