Final answer:
To calculate the number of revolutions that tires make over 80,000 km, first convert the distance to meters, find the circumference using the tire's radius, then divide the total distance by the circumference.
Step-by-step explanation:
The question is asking about the number of revolutions a car tire makes if the car travels a certain distance. To find out how many revolutions an automobile with 0.260 m radius tires makes after traveling 80,000 km, we first need to convert the distance traveled from kilometers to meters. Since 1 km = 1,000 m, we multiply 80,000 km by 1,000 to get 80,000,000 meters.
Next, we calculate the circumference of the tire, which is the distance a tire covers in one revolution. The formula for the circumference (C) of a circle is C = 2πr, where r is the radius of the tire. For a tire with a radius of 0.260 m, the circumference is C = 2π(0.260 m).
Now, to determine the number of revolutions (R), we divide the total distance traveled by the circumference of the tire:
R = Total Distance / Circumference
R = 80,000,000 m / 2π(0.260 m)
Performing this calculation will give us the total number of revolutions the tires made during the 80,000 km journey, neglecting any tire wear or reverse travel.