SOLUTION: A wheel goes a miles if the radius is b inches. Determine number of revolutions. Circumference = 2*pi*r. 1 mile = 63360 inches. 2*3.1416*r = 6.2832r. Unsure how to con

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A wheel goes a miles if the radius is b inches. Determine number of revolutions. Circumference = 2*pi*r. 1 mile = 63360 inches. 2*3.1416*r = 6.2832r. Unsure how to con      Log On

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Question 1076640: A wheel goes a miles if the radius is b inches. Determine number of revolutions.
Circumference = 2*pi*r.
1 mile = 63360 inches.
2*3.1416*r = 6.2832r.
Unsure how to continue. Non-homework. Thanks.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
For a certain number of revoluitions, a wheel of
radius +b+ will travel +a+ miles
-----------------------------------
Let +N+ = the number of revolutions
The horizontal distance traveled for 1 revolution is
+2%2Api%2Ab+ inches
----------------------------
+a+ mi = +63360a+ in
------------------------------
+N+=+63360a+%2F+%28+2%2Api%2Ab+%29+
+N+=+63360a+%2F+6.2832b+
+N+=+10084.057%2A%28+a%2Fb+%29+
Check the math