The wheel is made from a 10-kg thin ring and four 0,5-kg slender rods. If the torsinal spring attached to the wheel's center has a stiffnes $ k = 2 N*m/rad$, so that the torque on the center of the wheel is $ M = (2* \theta)*N*m$, where $\theta$ is in radians. The wheel is rotated two full turns, $\theta = 4*\pi$ Determine the angular velocity when the $\theta = 0$ and determine the angular acceleration immediately after release, just before the movement begins. Determine the angular acceleration at the moment when the wheel is back to its original position.
I have calculated the angular velocity but I have problems calculating the angular acceleration. Where to start?
$w = 10.9 rad/s$ and $\alpha_1 = 9.5 rad/s^2$ and $\alpha_2 = 0$