SOLUTION: Good day, can you help me in this trigonometry problem please? Each tire on a truck has a radius of 18 inches. The tires are rotating at 500 revolutions per minute. Find the

Question 980517: Good day, can you help me in this trigonometry problem please?

Each tire on a truck has a radius of 18 inches. The tires are rotating at 500 revolutions per minute. Find the speed of the truck to the nearest mile per hour.

Thank you.....
Answer by ikleyn(52860) (Show Source): You can put this solution on YOUR website!

Let us find the circumference (the length of the circle) of the radius r = 18 inches.
It is = 2*3.14*18 = 113.04 inches.

So, when the wheel of the truck makes one rotation (one revolution), the truck moves 113.04 inches ahead.
When the wheel of the truck makes 500 rotations, the truck moves 500*113.04 = 56520 inches ahead. It is = 4710 feet.

So, the speed of the truck is 4710 feet per minute.
It is 4710*60 = 282600 feet per hour, or = 94200 yards per hour. (Reminder: 1 yard = 3 feet).

Now, to convert this speed to miles per hour, we need to divide the value of 94200 by 1760, because 1 mile = 1760 yards (see the article from Wikipedia).

In this way you get the speed of = 53.52 .

Answer. The speed of the truck is 54 (approximately).

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