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?

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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) About Me  (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 pi%2Ad 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 d=5280%2F%28600%2Api%29=2.80 feet

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

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J