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The tires on your bicycle have a radius of 8 inches. How many rotations does each tire make when you travel 700 feet? Round your answer to the nearest whole number. Please help me

User Feiyu Zhou
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1 Answer

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"One rotation" would be the circumference of the wheel, which is

C = 2*pi*r, or (here) C = 2*pi*(8 inches) = 16*pi inches.

1 ft
Convert this to feet: 16*pi inches times ---------------
12 inches

Here "inches" cancels out and you are left with (4/3)pi ft.

So, one rotation of the wheel moves you and your bike forward (4/3)pi ft.

Divide this into 700 feet:

700 ft 2100
------------- = --------- rotations = 525 rotations (answer)
(4/3) pi ft 4
User Kamala
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