#$9$ A $5$kg$,70$ cm diameter solid wheel, that rotates about it center accelerates uniformly form $120$ rpm to $300$ rpm in $7$ seconds. Determine the angular acceleration for the wheel. For a point on the edge determine the radial $($centripetal$)$ and tangential accelerations for a time of $2$ seconds after rotation starts. What is the angular momentum of the wheel at $2$ seconds? Calculate the force, applied tangent to the rim of the wheel, necessary to cause the wheel to experience the angular acceleration.