SOLUTION: A bike is traveling at 10 mph. Determine number of revolutions the wheels make in 1 min. Circumference of wheels: 28 in. Solution provided with problem: Let n = number of

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Question 1048935: A bike is traveling at 10 mph. Determine number of revolutions the wheels make in 1 min.
Circumference of wheels: 28 in.
Solution provided with problem:
Let n = number of revolutions.
In 1 min. the wheels travel pi * 28 * n inches.
In 1 hr. the wheels travel pi * 28 * n * 60 inches.
= pi * 28 * n * 60 in. / 5280 * 12 miles. **
= pi * 28 * n * 60 in. / 5280 * 12 = 10 **

= pi * 7 * n / 88 * 3 = 10 **
n = 10 * 88 * 3 / pi * 7 **
= 10 * 88 / 7 = 125.74
n = 120

** I don't understand these steps. Thanks.





Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A bike is traveling at 10 mph.
Determine number of revolutions the wheels make in 1 min.
Circumference of wheels: 28 in.
Solution provided with problem:
Let n = number of revolutions.
:
I don't understand any of this solution either.
They give you the circumference (28") so there is no need to use pi.
When the wheel goes around once it will cover 28" on the ground
:
We have to convert miles to inches and hours to minutes
%2810%2A5280%2A12%29%2F60 = 10560 inches covered per minute at 10 mph
:
Find number of times the wheel completes a cycle to cover 10560 inches when it covers 28 inches for each revolution
10560%2F28 = 377.14 revolutions