An automobile tire is rated to last for 60,000 miles. To an order of magnitude, through how many revolutions will it turn? I don't know what circumference i should use for 1 rev
According to
http://www.ajdesigner.com/fl_tire/tire.php
the circumference of a typical automobile tire (205 60SR15) is 2.0 meters.
Convert 30,000 miles to meters (by multiplying by 1609 meters/mile) and divided it by 2 meters per revolution.
To determine the approximate number of revolutions an automobile tire will make over its lifetime, we can use the relation between distance, circumference, and revolutions.
1. Find the circumference of the tire: The circumference of a circle is given by the formula C = 2πr or C = πd, where r is the radius and d is the diameter of the tire. Let's assume the tire has a diameter of 1 meter for simplicity.
Circumference = π × Diameter
= 3.14 × 1
≈ 3.14 meters
2. Calculate the total distance the tire will cover over its lifetime: If the tire is rated to last for 60,000 miles, we need to convert this distance to meters (since we have the circumference in meters) to match the units.
1 mile ≈ 1609.34 meters (approximately)
Total Distance = 60,000 miles × 1609.34 meters/mile
≈ 96,560,400 meters
3. Divide the total distance by the circumference to get the approximate number of revolutions:
Number of Revolutions = Total Distance / Circumference
= 96,560,400 meters / 3.14 meters
≈ 30,749,968 revolutions
Therefore, the automobile tire will make approximately 30,749,968 revolutions over its lifetime to an order of magnitude.