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O 5/7/2015 11 PM A 86/100 5/6/2015 08:34 PM Gradebook Print Calculator Periodic

ID: 1390836 • Letter: O

Question

O 5/7/2015 11 PM A 86/100 5/6/2015 08:34 PM Gradebook Print Calculator Periodic Table Question 9 of 20 ncorrect Map A pling ance music often relies on a DJ playing two records at tne same time. The basic time signatures of the two Turntable A Turntable B 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. 33.3 rpm 0 rpm If the Armin van Buuren record rotationally decelerates at one-third the rate of rotational acceleration of the Blank & Jones record, at what rotational speed will the two turntables match when they finally "synch"? Number 28.5 rpm If this process took 7.63 seconds, how many revolutions would the Armin van Buuren record sweep? Number 393 rev Incorrect AO Previous 3 Give Up & View solution Try Again Next Ext Explanation

Explanation / Answer

Here ,

as aA = aB/3

Now, for "synching" let the angular speed is w

then , as time to come at w is same for both the records ,

33.3 - w /(aA) = w/aB

33.3 - w = w/3

w = 24.98 rpm ,

rotational speed to synch the turntables is 24.98 rpm

Now, for time = 7.63 s = 0.127 min

aA = (33.3 - 24.98)/.127

aA = 65.4 rpm/min

NOw,

no. of revoltions = 33.3 * 0.127 - 0.5 * 65.4 * 0.127^2

no. of revoltions = 3.7

the Armin van Buuren record makes 3.7 revolutions