Question

An automobile tire is rated to last for 55,000 miles. To an order of magnitude, through how many revolutions will it turn?

Answer: ______ revolutions

Answer 1

To solve this problem, we will make certain assumption because the radius of the automobile tire is not given.

Consider the average tire is 2 feet in diameter, so it's circumference is 2ft(3.14) = 6.28 feet

Now convert the miles into feet -

1 miles = 5280 feet,

therefore, 55000 miles = 55000 x 5280 feet = 2.904 x 10^8 feet.

So, number of revolutions turn by the automobile to cover a distance of 2.904 x 10^8 feet -

= (2.904 x 10^8) / 6.28 = 4.624 x 10^7 revolutions.