SOLUTION: If a wheel travels 1 mile in 1 minute, at a rate of 600 revolutions per minute, what is the diameter of the wheel, in feet?

Question 223253: If a wheel travels 1 mile in 1 minute, at a rate of 600 revolutions per minute, what is the diameter of the wheel, in feet?
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
If a wheel travels 1 mile in 1 minute, at a rate of 600 revolutions per minute, what is the diameter of the wheel, in feet?

Step 1. Let d be the diameter of the wheel.

Step 2. Let be the circumference of the wheel for one revolution

Step 3. Note 1 mile = 5280 feet

Step 4. Then 1 mile = 5280 ft= 600*pi*d since 600 revolutions occur in one minute.

Step 5. Solving for feet

Step 6. ANSWER: The diameter of the wheel is 2.80 feet.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

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