Question

An automobile with 0.260 , {m} radius tires travels 80,000 , {km} before wearing them out. How many revolutions do the tires make, neglecting any backing up and any change in radius due to wear?

A. 190,000 , {rev}
B. 200,000 , {rev}
C. 210,000 , {rev}
D. 220,000 , {rev}

Answer 1

The number of revolutions the tires make can be calculated using the formula: Number of revolutions = Total distance traveled / Circumference of the tire. Given the tire radius and total distance traveled, we can substitute these values into the formulas to find the number of revolutions.

Step-by-step explanation:

The number of revolutions a tire makes can be calculated using the formula:

Number of revolutions = Total distance traveled / Circumference of the tire

The circumference of a tire can be calculated using the formula:

Circumference = 2 * pi * radius

Given that the tire radius is 0.260 m and the total distance traveled is 80,000 km (converted to meters), we can substitute these values into the formulas to find the number of revolutions:

Circumference = 2 * 3.14159 * 0.260 = 1.634 m

Number of revolutions = 80,000,000 / 1.634 = 48,957,263 revolutions

Therefore, the tires make approximately 48,957,263 revolutions before wearing out.