A compact disc $($CD$)$ rotates from rest up to an angular velocity of $-31\mathrm{.}4$ rad$/$s in a time of $0\mathrm{.}892$ s$.($a$)$ What is the angular acceleration of the disc, assuming the angular acceleration is uniform? $($b$)$ Through what angle does the disc turn while coming up to speed.$($c$)$ If the radius of the disc is $4\mathrm{.}45$ cm$,$ find the tangential velocity of a microbe riding on the rim of the disc when t$=0\mathrm{.}892$ s$.($d$)$ What is the magnitude of the tangential acceleration of the microbe at the given time?