A flywheel is a solid uniform disk of mass $M=250kg$ and radius $R=1\mathrm{.}2m.$ The flywheel is at rest at $t=0,$ when a force $F=300N$ is applied in the plane of the flywheel, tangentially to its rim. What is the angular velocity of the flywheel at $t=30s,$ expressed in $ra\frac{d}{s}?$

$($A$)30\mathrm{.}0$

$($B$)15\mathrm{.}0$

$($C$)86\mathrm{.}4$

$($D$)60\mathrm{.}0$

$($E$)37\mathrm{.}5$

$M=250$

$R=1\mathrm{.}2,=$

$F=300$

$t_1=0$

$t_2=30$