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

We first need to calculate the total number of revolutions made in one day by the turntable:

33 1/3 revolutions/minute * 60 minutes/hour * 3 hours/day = 6,000 revolutions/day

Next, we need to multiply this by the number of days in a year:

6,000 revolutions/day * 365 days/year = 2,190,000 revolutions/year

This number is closest to 10^12, which is written as 10^12 = 1,000,000,000,000. The order of magnitude is therefore 10^12.

The only answer choice that has a value around 10^12 is B, which is 10^(1+12) = 10^13. Therefore, the best choice is B.

A Diehard Music Lover Still Prefers to Listen to His