A carousel, starting from rest, is brought to a full rotational speed of one revolution per 5.00 seconds. The angular acceleration during the process is 0.300 rad/s2. The radius of the carousel is 6.00 m.
(a) How much time is needed to bring the carousel to full speed?
(b) How many revolutions does the carousel make in this time?
(c) At the moment the carousel reaches full speed, it loses power, and comes to rest while making an additional 7.00 revolutions. How much time does this take?
(d) What are the speed and centripetal acceleration of a point on the rim when the carousel is at full speed?