Final answer:
In Physics, to find the number of revolutions a tire makes, convert the distance traveled into meters, calculate the tire's circumference, and then divide the distance by the circumference.
Step-by-step explanation:
The subject of this question is Physics, specifically relating to motion and how to compute the number of revolutions a tire makes based on the distance traveled and the radius of the tires.
An automobile with 0.260 m radius tires traveling 80,000 km before wearing out will make a certain number of revolutions. To find this number, first convert the distance from kilometers to meters, then use the circumference of a tire to calculate the total number of revolutions.
The formula to find the circumference (C) of a circle is C = 2πr, where r is the radius. Therefore, the circumference of one tire is C = 2 * π * 0.260 m. The distance traveled in meters is 80,000 km * 1,000 m/km. To find the number of revolutions (N), we divide the total distance by the circumference of one tire. Therefore, N = (80,000 km * 1,000 m/km) / (2 * π * 0.260 m).