Question $14(7$ points$)$

A solid cylindrical disk has a radius of $0\mathrm{.}14$ m $.$ It is mounted to an axle that is perpendicular to the circular end of the disk at its center. When a $49-$N force is applied tangentially to the disk, perpendicular to the radius, the disk acquires an angular acceleration of $57ra\frac{d}{s^2}.$ What is the moment of inertia of the disk $(kg*m^2)?$

Show your answer to three decimal places: for example, $0\mathrm{.}065.$

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