a truck has a diameter of 25 inches. a tack is stuck on the bottom of the tire. if the truck travels one mile, how many times will the tack touch the road?

Circumference (C) = πd

1 Mile = 63,360 Inches

Divide mile (inches) by C.

To determine how many times the tack will touch the road when the truck travels one mile, we need to calculate the number of revolutions the tire makes.

First, let's find the circumference of the tire using its diameter. The formula for the circumference of a circle is C = πd, where C represents the circumference and d represents the diameter. Plugging in the given diameter of 25 inches into the formula:

C = π * 25 inches.

Since we are interested in the number of revolutions per mile, we need to convert the distance traveled from miles to inches. There are 5,280 feet in a mile, and 12 inches in a foot, so:

Distance in inches = 1 mile * 5,280 feet/mile * 12 inches/foot.

Now, we have all the necessary information to calculate the number of revolutions:

Number of revolutions = Distance in inches / Circumference.

Let's plug in the values and calculate the answer.