$(11\%)$ Problem $8$: A thin rod with a mass of $289g$ and a length of $41\mathrm{.}4cm$ is free to rotate in the $x-y$ plane and about the $z$ axis, which passes

through its end. Initially at rest, a constant torque, vec$()=hat(k),$ is applied. After completing $11$ full revolutions, the thin rod is rotating at $65rpm$

$($revolutions per minute$).$

In lieu of the typical table as found in most textbooks, the MOIs of uniform standard objects may be obtained by using the left and right arrows to step

through the image carousel to the right.

What is the magnitude, in newton meters, of the torque?

$=$

$N*m$