you have a bicycle with 26 inch diameter tires. if you ride it for 6 miles, how many revolutions will each tire make?
C = pi * d
C = 3.14 * 26
C = 81.64 inches = 6.803 feet
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1 mile = 5,280 feet
6 miles = 31,680 feet
31,680 / 6.803 = ?
To calculate the number of revolutions each tire will make, you need to know the circumference of the tires. The circumference is the distance around the circle formed by the tire. It can be calculated using the formula:
Circumference = π * Diameter
where π (pi) is a mathematical constant approximately equal to 3.14159.
In this case, the diameter of the tires is given as 26 inches. Therefore, the circumference of each tire would be:
Circumference = π * 26 inches
Now, you mentioned that you are riding the bicycle for 6 miles. To find out how many revolutions each tire will make for that distance, you need to convert the distance ridden into inches because the circumference of the tire is given in inches.
Since there are 5,280 feet in a mile and 12 inches in a foot, you can convert the distance in miles to inches using the following conversion factor:
6 miles * 5,280 feet/mile * 12 inches/foot = X inches
Now, you have the distance in inches. To find the number of revolutions, you divide the distance (in inches) by the circumference (in inches) of each tire:
X inches / (Circumference inches) = Y revolutions
Using these steps, you can calculate the number of revolutions each tire will make for a 6-mile ride.