SOLUTION: Ref. Question 1048935:
Error in statement of problem; Should be DIAMETER of wheels; 28 in. Sorry for typo.
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Question 1048953: Ref. Question 1048935:
Error in statement of problem; Should be DIAMETER of wheels; 28 in. Sorry for typo.
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
I found the shown included steps confusing also:
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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.
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Diameter is 28 inches (and not "circumference").
Question was "How many revolutions in one minute?"
If you find the given solution steps included with your exercise confusing, then make your own analysis and solution the best and most orderly as you are able.
Bike 10 MILES/HOUR
Diameter of Wheel 28 INCHES
What is then the circumference if diameter is 28 inches? How many MILES is this circumference?
-
r for radius, 2r for diameter,
c for circumference,
------but this is in INCHES.
-
Circumference is .
I will stop going further with a solution now, but check carefully what I showed so you understand it. Maybe you can take the solution the rest of the way yourself. You need to make a unit conversion maybe for circumference, from inches to miles, and ask yourself, how many circumferences are going in 1 minute of travel?
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