A vertical solid disk of uniform mass $M=7kg$ and radius $R=0,5m$ is pivoted from point $O$ as shown in the figure below. A constant radial force of $F=117N$ is applied where the angle $=36.$ If $x=0,36m,$ determine the angular acceleration of the disk in SI units at the instant shown. Express your answer using two decimal places. Please use the convention: Clockwise $(-),$ Counterclockwise $(+)$ when expressing your answer.

Hint $1$: The moment of inertia of a uniform disk about an axis of rotation passing through the center of mass $(CM)$ is $I_{CM}=M\frac{R^2}{2}.$

Hint $2$: Don't forget the force of gravity!!! Take $g=9\mathrm{.}80\frac{m}{s^2}.$