An automobile tire is rated to last for 60,000 miles. To an order of magnitude, through how many revolutions will it turn?
i put 10E7 but i got it wrong since i used 1rev/8ft
To find the number of revolutions a tire will make, we need to know the circumference of the tire and the distance it will travel.
First, let's calculate the circumference of the tire. The formula to find the circumference is C = π * d, where C is the circumference and d is the diameter. However, since we are dealing with an approximate value, we can approximate π as 3.
Assuming the diameter of the tire remains constant throughout its life, we can use the formula C = π * d. Let's say the diameter is 2 feet.
C = 3 * 2 = 6 feet
Now we need to calculate the distance the tire will travel in 60,000 miles. We know that 1 mile is equivalent to 5,280 feet.
Distance = 60,000 miles * 5,280 feet/mile = 316,800,000 feet
To find the number of revolutions, divide the distance traveled by the circumference of the tire:
Number of revolutions = Distance / Circumference = 316,800,000 feet / 6 feet = 52,800,000 revolutions
Therefore, to an order of magnitude, a tire with a rating of 60,000 miles will turn approximately 10^7 revolutions. So your original answer of 10E7 or 10,000,000 was indeed correct.