The force f⃗ pulling the string is constant; therefore the magnitude of the angular acceleration α of the wheel is constant for this configuration. find the magnitude of the angular velocity ω of the wheel when the string has been pulled a distance d. note that there are two ways to find an expression for ω; these expressions look very different but are equivalent. express the angular velocity ω of the wheel in terms of the displacement d, the magnitude f of the applied force, and the moment of inertia of the wheel iw, if you've found such a solution. otherwise, following the hints for this part should lead you to express the angular velocity ω of the wheel in terms of the displacement d, the wheel's radius r, and α.