A diehard music lover still prefers to listen to his vinyl records, which rotate at 33 revolutions per minute. If he listens for an average of three hours per day, estimate the order of magnitude for the number of revolutions his turntable makes in a year.

Question

A diehard music lover still prefers to listen to his vinyl records, which rotate at 33  revolutions per minute. If he listens for an average of three hours per day, estimate the order of magnitude for the number of revolutions his turntable makes in a year.

Quizplus · Accepted Answer

To estimate the number of revolutions the turntable makes in a year, we first need to find out how many revolutions it makes per day.

Since the turntable rotates at 33 1/3 revolutions per minute, it rotates 33.33 x 60 = 2000 revolutions per hour.

If the music lover listens for an average of 3 hours per day, then the turntable makes 2000 x 3 = 6000 revolutions per day.

To find the number of revolutions in a year, we multiply this by the number of days in a year:

6000 x 365 = 2,190,000

Therefore, the approximate order of magnitude for the number of revolutions the turntable makes in a year is 10^6, which is answer choice C.

A Diehard Music Lover Still Prefers to Listen to His