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Answer :
Final answer:
To calculate how long it will take the bicycle to travel 1 mile, we need to determine the distance the bicycle travels in one revolution and then calculate the time it takes based on the rotational speed of the tires.
Explanation:
To calculate how long it will take the bicycle to travel 1 mile, we need to first calculate the distance the bicycle travels in one revolution.
The circumference of a circle can be calculated using the formula C = 2πr, where r is the radius of the circle. In this case, the radius is half the diameter, so the radius is 3.5 inches. Plugging this value into the formula, we get C = 2π(3.5) = 22 inches.
To convert this distance to miles, we can use the conversion factor 1 mile = 63,360 inches.
Dividing 63,360 inches by 22 inches gives us the number of revolutions it takes to travel one mile, which is approximately 2,880 revolutions.
Now that we know how many revolutions it takes to travel one mile, we can calculate the time it takes. The bicycle is rotating at 80 revolutions per minute, so in one minute it will travel 80 revolutions.
Dividing 2,880 revolutions by 80 revolutions per minute gives us approximately 36 minutes. Therefore, it will take the bicycle approximately 36 minutes to travel 1 mile.
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