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April 15th, 2014, 05:36 AM   #1
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Reel Fill Calculation - Need Help Please

Hello,

I have a real world application that I would like some help with.

I have a fishing reel that has a line counter on it. As you reel in or let line out, it counts the number of revolutions of the spool and mechanically translates it into feet. The line counter is designed such that it is only accurate when the spool is full of line.

When the reel is empty, one foot on the line counter equals four inches of line on the spool. The spool is 0.5 inches with no line.

The reel is capable of holding 310 yards of line that is 0.019" in diameter, or 3.164 cubic inches of line.

The line that I intend to use is 0.0157 inches in diameter.

I have three reels and I want to fill each with 1000 feet line from a 1000 yard spool.

The problem:

Need to calculate the ending line counter reading when 1000 feet of line has been spooled up on the reel from empty.


Thank you in advance for your help.
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April 15th, 2014, 12:53 PM   #2
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Perhaps the person that moved this post to the 'algebra' section can give a hint? I thought this was an integral calculus problem.
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April 15th, 2014, 03:11 PM   #3
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My first thoughts were to integrate, but it's been a long time and I'm a noob here
However, something is telling me it's simpler than that, but fermented grape juice is getting in the way...
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April 16th, 2014, 07:50 AM   #4
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Yeah, I know someone around here has to be able to help!
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