Question

You install new tires on your car that are rated to last for 55,000 miles. How many revolutions will the tires make before the

have to be replaced? Estimate your answer to an order of magnitude.
O~10³
O~107
O~1010

Answer 1

To estimate the number of revolutions the tires will make, divide the total distance by the circumference of the tire. The estimated number of revolutions is approximately 46,188,067.

Step-by-step explanation:

To estimate the number of revolutions the tires will make before they need to be replaced, we first need to know the circumference of the tires. Let's assume the tire has a diameter of 2 feet, which means a radius of 1 foot. The circumference of a circle can be calculated using the formula C = 2πr, where r is the radius. So, the circumference of the tire is approximately 2π feet.

To estimate the number of revolutions, we can divide the total distance the tire is rated to last (55,000 miles) by the circumference of the tire.

Let's convert 55,000 miles to feet: 55,000 miles * 5280 feet/mile = 290,400,000 feet.

Now, we can calculate the estimated number of revolutions:

Revolutions = Distance / Circumference = 290,400,000 feet / (2π feet) ≈ 46,188,067 revolutions.

Learn more about Calculating the number of revolutions of a tire