brendalbelmonte brendalbelmonte
  • 04-03-2019
  • Mathematics
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A bicycle wheel with a radius of 14 inches travels one mile (5,280 feet). Approximately how many revolutions does the wheel make?

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 13-03-2019

ANSWER

720 revolutions.

EXPLANATION

The radius of the bicycle wheel is 14 inches.

1foot =12 inches.

This implies that

[tex]r = \frac{14}{12} = \frac{7}{6} ft[/tex]

In one revolution, the bicycle covers

[tex]2\pi \: r \: ft[/tex]

The number of revolution in 5,280 feet is

[tex] \frac{5280}{2\pi \: r} = \frac{5280}{2 \times \pi \times \frac{6}{7} } = 720.2897996[/tex]

This is approximately 720 revolutions.

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