$9\mathrm{.}24$ An electric turntable $0\mathrm{.}750$ m in diameter is rotating about a fixed axis with an initial angular velocity of $0\mathrm{.}250$ rev$/$s and a constant angular acceleration of $0\mathrm{.}900$ rev$/$s$2($a$)$ Compute the angular velocity of the turntable after $0\mathrm{.}200$ s$.($b$)$ Through how many revolutions has the turntable spun in this time interval? $($c$)$ What is the tangential speed of a point on the rim of the turntable at t $=2\mathrm{.}00$ s $($d$)$ What is the magnitude of the resultant acceleration of a point on the rim at t $=2\mathrm{.}00$ s