A discus thrower accelerates a discus from rest to a speed of $24\mathrm{.}7$ m$/$s by whirling it through $1\mathrm{.}26$ rev. Assume the discus moves on the arc of a circle $0\mathrm{.}96$ m in radius.A discus thrower moving in a circle as he prepares to throw the discus.$($a$)$ Calculate the final angular speed of the discus. rad$/$s$($b$)$ Determine the magnitude of the angular acceleration of the discus, assuming it to be constant. rad$/$s$2($c$)$ Calculate the time interval required for the discus to accelerate from rest to $24\mathrm{.}7$ m$/$s$.$ s