A bicycle tire has a diameter of 24 inches. How many miles will the bicycle travel when the tires make 16,000 revolutions?
C = π d
One mile = 63,360 inches
16,000C/63,360 = ?
To determine how many miles the bicycle will travel when the tires make 16,000 revolutions, we need to use the relationship between the circumference of the tire and the number of revolutions.
First, let's calculate the circumference of the tire using the formula:
Circumference = π x diameter
Given that the diameter of the tire is 24 inches, we can substitute this value into the formula:
Circumference = π x 24 inches
To find the value of π, we can use an approximation like 3.14. So the circumference becomes:
Circumference ≈ 3.14 x 24 inches
Calculating this expression, we find that the approximate circumference of the tire is 75.36 inches.
Now, knowing the circumference of the tire, we can find the distance traveled in one revolution. Since the circumference represents the distance around the tire, it's safe to say that the bicycle will travel the circumference distance during one revolution.
Therefore, the distance traveled in one revolution is approximately 75.36 inches.
To find the total distance traveled when the tires make 16,000 revolutions, we need to multiply the number of revolutions by the distance traveled in one revolution:
Total distance traveled = Number of revolutions x Distance traveled in one revolution
Substituting the given values:
Total distance traveled = 16,000 revolutions x 75.36 inches
To convert this distance from inches to miles, we need to know the conversion factor: 1 mile = 63,360 inches.
Dividing the total distance traveled in inches by the number of inches in a mile, we can find the distance in miles:
Total distance traveled ≈ (16,000 revolutions x 75.36 inches) / 63,360 inches per mile
Simplifying this expression, we find that the bicycle will travel approximately 18.91 miles when the tires make 16,000 revolutions.