An automobile tire is rated to last for 45,000 miles. Estimate the number of revolutions the tire will make in its lifetime.
To estimate the number of revolutions the tire will make in its lifetime, we need to know the circumference of the tire. The circumference of a circle can be calculated using the formula C = 2πr, where C is the circumference and r is the radius.
Let's assume the tire has a radius of 13 inches (which is a common size for car tires). So, the circumference of the tire can be calculated as follows:
C = 2πr
C = 2 x (3.14) x 13
C ≈ 81.64 inches
Now, let's convert the 45,000 miles into inches. There are 63,360 inches in a mile. So, the total number of inches the tire will travel in its lifetime is:
Total distance traveled = 45,000 miles x 63,360 inches/mile
Total distance traveled ≈ 2,838,720,000 inches
Now, we can estimate the number of revolutions the tire will make by dividing the total distance traveled by the circumference of the tire:
Number of revolutions = Total distance traveled / Circumference of the tire
Number of revolutions ≈ 2,838,720,000 inches / 81.64 inches
Number of revolutions ≈ 34,751,309 revolutions
Therefore, based on these assumptions and calculations, the tire is estimated to make approximately 34,751,309 revolutions in its lifetime.
To estimate the number of revolutions the tire will make in its lifetime, we need to know the circumference of the tire and the number of miles it can travel.
First, let's calculate the circumference of the tire. This can be done using the formula:
Circumference = π * Diameter
However, we don't know the diameter of the tire directly. Instead, we have the information that it can last for 45,000 miles. So, we need to find a way to relate mileage to the circumference of the tire.
To do this, we need to know the distance traveled in one revolution of the tire. This is equivalent to the circumference of the tire.
Now, divide 45,000 miles by the mileage covered in one revolution to estimate the number of revolutions the tire will make in its lifetime.
Dia. = 20in.
1rev = 3.14 * 20 = 62.8in = 5.2ft.
45000mi * 5280ft/mi * (1/5.2)rev/ft =
45,692,308.rev.