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# Revolutions - Wheel / Partial Solution

Thu 12 Mar, 2015 10:01 pm
A bicycle is traveling at 10 mph. Diameter of wheels - 28 in. Determine number of revolutions the wheels make per min.

Let N = Number of revolutions

Circumference - pi * diameter

C - 3.1416 * 28 = 87.9648 = 88 in.

The wheels make N revolutions per min.

In one min. the wheels travel pi * 28 * N in.

In one hr. the wheels travel pi * 28 * N * 60 in.

How do I proceed from here ?

Non - homework question.
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neologist

1
Thu 12 Mar, 2015 11:42 pm
@Randy Dandy,
Number of inches in 10 miles =5280*10*12=633,600
Using your figure for diameter 633,600/88=7,200 revolutions in 10 miles per 1 hour.
Number of revolutions in 1 minute =7,200/60=120

I think your initial assignment of N is confusing.
Randy Dandy

1
Fri 13 Mar, 2015 10:17 am
@neologist,
"I think your initial assignment of N is confusing. "

What should I have used ? Thanks.
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Randy Dandy

1
Fri 13 Mar, 2015 09:20 pm
@neologist,
I have a follow-up:

Here is another partial solution - pi x 28 x n x 60 / 5280 x 12
pi x 28 x n x 60 / 5820 x 12 = 10
pi x 7 x n / 88 x 3 = 10
n = 10 x 88 x 3 / pi x 7
10 x 88 / 7 = 130
n = 120

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