A flea is sitting on the very tip of the minute hand on a grandfather clock. The minute hand measures 6 inches long. How far does the flea travel in a day.

Question

Mathematics

Noemi Cantrell

10 June, 07:22

A flea is sitting on the very tip of the minute hand on a grandfather clock. The minute hand measures 6 inches long. How far does the flea travel in a day.

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Kristopher Henry · Answer 1

In one day there are 24 hours, and each hour there are 60 minutes, so the minute hand makes 24*60=1440 full circles in one day. For each circle, the tip of the minute hand travels the entire circumference, which is 2*pi*r = 2*pi * (6 inches) = 12*pi inches. Multiplying by 1440 circles per day gives a distance of:

17280*pi inches, or 54,287 inches.