Q: A 10-inch diameter vinyl record rotates on a turntable at33 rpm. A thrill-see
ID: 1675773 • Letter: Q
Question
Q: A 10-inch diameter vinyl record rotates on a turntable at33 rpm. A thrill-seeking ant rides along on the edge of the record. The turntable is suddenlyreset to 45 rpm. The turntable reaches 45 rpm in time of 1.1 s. During those 1.1 s, what isthe (a) the angle through which the ant rotates and (b) the path length of the ant’sride.A: a/ 4.5rad b/ .57m Q: A 10-inch diameter vinyl record rotates on a turntable at33 rpm. A thrill-seeking ant rides along on the edge of the record. The turntable is suddenlyreset to 45 rpm. The turntable reaches 45 rpm in time of 1.1 s. During those 1.1 s, what isthe (a) the angle through which the ant rotates and (b) the path length of the ant’sride.
A: a/ 4.5rad b/ .57m
Explanation / Answer
Diameter d = 10 inch = 10 * 2.54 cm = 25.4 cm = 0.254 m
Initial angular speed w = 33 rpm
Final angular speed w ‘ = 45 rpm
Time t= 1.1 s = 1.1 / 60 min= 0.018333 min
Angular acceleration = ( w’ – w) / t
= 654.54 rev / min^ 2
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.