Final answer:
To determine the number of revolutions car tires make, we calculate the tire's circumference using its radius and then divide the total distance traveled by the circumference.
Step-by-step explanation:
To calculate the number of revolutions an automobile's tires make, we can use the relationship between the circumference of a tire and the distance traveled by the car. The formula to find the circumference (C) of a tire is C = 2πr, where r is the radius of the tire. Once the circumference is known, the number of revolutions (N) is found by dividing the total distance traveled by the circumference.
In this case, the radius (r) of the tire is 0.260 meters. Therefore, the circumference of the tire is 2π(0.260 m). To find the distance traveled in meters, we convert 80,000 km to meters by multiplying by 1,000, since 1 km = 1,000 meters. After this, we divide the total distance traveled in meters by the tire's circumference to find the number of revolutions:
- Circumference, C = 2π(0.260 m)
- Distance in meters = 80,000 km × 1,000
- Number of Revolutions, N = Distance in meters / Circumference