Question

an automobile with 0.239 m radius tires travels 70000 km before wearing them out. how many revolutions do the tires make, neglecting any backing up and any change in radius due to wear? (you do not need to enter any units.)

Answer 1

To determine the number of revolutions the tires make, we can use the formula:

The number of revolutions = Distance traveled / Circumference of the tire.

First, let's calculate the circumference of the tire using the given radius:

Circumference = 2 * π * radius

Plugging in the values, we have:

Circumference = 2 * 3.14 * 0.239

Next, let's convert the distance traveled from kilometers to meters:

Distance traveled = 70000 km * 1000 m/km

Now, we can calculate the number of revolutions:

Number of revolutions = (70000 km * 1000 m/km) / (2 * 3.14 * 0.239)

Simplifying the equation:

Number of revolutions = 70000 * 1000 / (2 * 3.14 * 0.239)

Number of revolutions ≈ 9239543

Therefore, the tires make approximately 9,239,543 revolutions during the 70,000 km travel distance, neglecting any backing up and any change in radius due to wear.