Prior to the music CD, stereo systems had a phonographic turntable on which viny

Question

Prior to the music CD, stereo systems had a phonographic turntable on which vinyl disk recordings were played. A particular phonographic turntable starts from rest and achieves a final constant angular speed of 33 rpm in a time of 4 s. How many rotations did the turntable undergo during that time? rev The classic Beatles album Abbey Road is 47 min and 7 s in duration. If the turntable requires 8.6 s to come to rest once the album is over, calculate the total number of rotations for the complete start-up, playing, and slowdown of the album. (Give your answer to the nearest full revolution.) reV

Explanation / Answer

wi = 0

wf = 100/3 rpm = 100/3 /60 = 0.556 rev/s

wf = wi + alpha t

0.556 = 0 + 4alpha

alpha = 0.139 rev/s^2

Applying theta = wi * t + alpha t^2 /2

= 0 + (0.139 x 4^2 / 2)

= 1.11 rev

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