How many revolutions does a 26 inch bike tire make to go a quarter mile

C = pi * d

C = 3.14 * 26
C = 81.64 inches

0.25 * 5,280 * 12 = 15,840 inches in 1/4 mile

15,840 / 81.64 = _________ revolutions per 1/4 mile

To find out how many revolutions a 26-inch bike tire makes to go a quarter mile, there are a few steps you can follow:

1. Find the circumference of the bike tire:
The circumference of a circle can be calculated using the formula C = 2 * π * r, where π (pi) is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle. Since the bike tire's diameter is given as 26 inches, the radius can be calculated by dividing the diameter by 2. So, the radius (r) of the tire is 26 inches divided by 2, which is 13 inches. Now, substitute the radius value into the circumference formula:
C = 2 * π * 13 inches

2. Convert the circumference from inches to miles:
Since we want to convert the circumference from inches to miles, we need to know the conversion factor between inches and miles. There are 5,280 feet in a mile, and 12 inches in a foot, so there are 5,280 * 12 = 63,360 inches in a mile.

Divide the circumference calculated in step 1 by the number of inches in a mile:
C_miles = C / 63,360

3. Calculate the number of revolutions to go a quarter mile:
A quarter mile is 1/4 of a mile. To calculate the number of revolutions, divide the distance in miles (a quarter mile) by the circumference in miles (C_miles) calculated in step 2:
Number of Revolutions = 1/4 mile / C_miles

By following these steps, you can determine the number of revolutions a 26-inch bike tire makes to go a quarter mile.