Problem $1$: $(50\%$ of Assignment Value$)$

The triceps muscle in the back of the upper arm is primarily used to extend the forearm. Suppose this muscle in a professional boxer exerts a force of $1\mathrm{.}9{10}^{3}N$ with an effective perpendicular lever arm of $3\mathrm{.}2$ cm $,$ producing an angular acceleration of the forearm of $135ra\frac{d}{s^2}.$

What is the moment of inertia of the forearm, in kilogram meters squared?

$I=$