A compact disc rotates from rest up to an angular speed of 31.4 rad/s in a time of 0.892 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 4.45 cm, find the tangential speed of a microbe riding on the rim of the disc when t=0.892 s.
(d) What is the magnitude of the tangential acceleration at the given time?