a disc thrower accelerates a discus from rest to a speed of $25\mathrm{.}3$ m$/$s by whirling it through $1\mathrm{.}22$ rev. assume the discus moves on the arc of a circle $0\mathrm{.}95$m in radius.

$($a$)$ calculate the final angular speed of the discus.

$($B$)$ determine the magnitude of the angular acceleration of the discus, assuming it to be constant.

$($c$)$ calculate the time interval required for the discus to accelerate from rest to $25\mathrm{.}3$ m$/$s