Problem $12$: $(6\%$ of Assignment Value$)$

A thin disc with a mass of

$2\mathrm{.}15$ kg and a radius of

$30\mathrm{.}7$ cm is free to rotate about the

z axis, which passes through its diameter. Initially at rest, a constant torque,

vec$(\backslash$tau $)=(17\mathrm{.}5$mN$*$m$)$hat$($k$),$ is applied through

$6\mathrm{.}12$ revolutions.

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.

Part $($a$)*$

By how much, in joules, does the kinetic energy of the disc increase?

$\backslash$Delta K$=0\mathrm{.}6730$J

Part $($b$)$

What is the final angular velocity, in revolutions per minute, after the application of the torque?

$\{$:$\backslash$omega $\_($f$)=|,]$rpm

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