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# question

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The tires on your bicycle have a radius of 14 inches. How many rotations does each tire make when you travel 900 feet? Round your answer to the nearest whole number.

Apr 16, 2020

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The tires on your bicycle have a radius of 14 inches. How many rotations does each tire make when you travel 900 feet? Round your answer to the nearest whole number.

Hello Guest!

$$s=C\cdot n\\ C=2\pi r=2\pi \cdot 14\ in\\ C=87.964\ in$$

$$s=600\ ft\cdot \frac{12\ in}{ft}\\ s=7200\ in$$

$$n=\frac{s}{C}=\frac{7200\ in}{87.964\ in}$$

$$n\approx 82$$

Each tire makes 82 turns.

!

Apr 16, 2020