Trance music often relies on a DJ playing two records at the same time. The basi

Question

Trance music often relies on a DJ playing two records at the same time. The basic time signatures of the two records must match, however, otherwise the two records will play "out of synch." A DJ is playing an Armin van Buuren record on Turntable A at a typical 33.3 rpm, while a Blank & Jones record rests motionless on Turntable B. At a given time, he turns on one record and turns off the other. If the Armin van Buuren record rotationally decelerates at one-fifth the rate of rotational acceleration of the Blank & Jones record, at what rotational speed will the two turntables match when they finally "synch"?

Explanation / Answer

in one case V = Vo-at/5 and in other case its V = at . equate them both giving you Vo = 6at/5 or at = 5Vo/6 at this V = 5Vo/6 the both records are matching their speeds

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