Starting from rest, a disk rotates about its central axis withconstant angular a

Question

Starting from rest, a disk rotates about its central axis withconstant angular acceleration. In 5.00 s, it rotates 36.1 rad.During that time, what are the magnitudesof (a) the angular accelerationand (b) the average angularvelocity? (c) What is the instantaneousangular velocity of the disk at the end of the 5.00s? (d) With the angular accelerationunchanged, through what additional angle (rad) will the disk turnduring the next 5.00 s?

Explanation / Answer

a) = ½ t² => = 2 /t² = 2 * 36.1 / 5² = 2.888 rad/s² b) a = ? / ?t = 36.1 / 5 = 7.22 rad/s c) i = t = 2.888 * 5 = 14.44 rad/s d) = o t + ½ t² = 7.22 * 5 +½ 2.888 * 5² = 72.2 rad

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