$\backslash$& A $\backslash (5\backslash$mathrm$\{$~kg$\},70\backslash$mathrm$\{$~cm$\}\backslash )$ diameter solid wheel, that rotates about it center accelerates uniformly form $120$ rpm to $300$ spm 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.