Group....
Some of you told me you never got this message with the quiz.........which may explain why only 2 of you have sent in answers, so far.
Sooooooooooooooooooo I'm sending it again. (If you don't know the, "exact" answers, give it some estimates/ guesses.
Gordy
From: "Gordon Hill" <hillshead@xxxxxxx>
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Subject: Casting math & brain teasing
Date: Mon, 13 Feb 2006 11:39:45 -0500
Hi, Group.
I've just finished re-reading Greg Spolek's article, THE MECHANICS OF FLYCASTING:THE FLYLINE (Am. J. Physics. 54(9) 9/86) pp 832-836.)
Some questions come to mind:
1.) A standard straight line overhead cast is made without shooting line. There is no wind. The rod is a 7wt fast action 9'. The line is WF7F, long belly. The diameter of the loop is 3'.
Just prior to loop turnover, the speed of the forward travel of that loop was calculated by time/frame video to be 80'/sec. The total line carried out of the rod tip is 60'. For practical purposes, the fly is a nearly weightless 1" yarn, "fly". An 8' tapered leader is used.
Question: How fast is the fly traveling ?
2.) The same cast is made with a loop diameter of 1 1/2'. (18") The loop speeed is now 90'/sec.
How fast is the fly traveling, now ?
3.) The loop diameter remains at 1 1/2 ' ( 18"). The loop speed has now decreased to 80'/sec.
How fast is the fly traveling ?
4.) Can you come up with a formula which mathematically relates the forward velocity of the loop with that of it's fly leg for varying loop diameters ?
5.) We now switch to a LEVEL L7F line. Does the loop decelerate and then pick up speed near the end of loop turnover ? or does it accelerate until near the turnover point and then decelerate ?
6.) Now let's go back to making the same cast with a WF7F longbelly XXD line. Does the loop continue to accelerate throughout the most of its travel and then rapidly decelerate as it reaches the point of loop turnover ? Or does it maintain or increase its velocity at that point ?
7.) Does air resistance to the forward motion of the loop have a greater effect just after loop formation, (RSP+) or near the end of loop turnover ?
8.) Air density has now increased due to decrease in air temperature and high atmospheric pressure. Does this situation offer more resistance to the forward travel of the loop ? (Assume no wind).
9.) Let's accept as fact that: a.) Air/Oncoming wind can provide more resistance to a wide loop than to a narrow one, and that: b.) A narrow loop provides better concentration of energy in the direction of the cast than a wide one.
Which of the two has the greatest effect on loop speed in the direction of the cast ?
10.) Does loop speed increase at a greater rate near the end of the cast when a tapered line is used than with a level line ?
11.) Why ?
12.) Let's say our goal is to have a final loop velocity at or greater than 30m/sec.
Which line requires the GREATEST initial velocity ot the newly formed loop (right after RSP) ?...
a.) A WF7F XXD b.) DT7F c.) L7F
13.) Which of the above lines requires the LEAST initial loop velocity ?
14.) With the cast described in 1). at what point does gravity begin to make the fly line fall ?
15.) At what point does gravity have maximal effect ?
16.) Does the formula: E= 1/2 mV-squared apply in any way to the dynamics of a fly line during the cast ?
I realize full well that this gets away from the, "poetry" and even further from the, "zen" of fly casting.....and it won't result in one more fish caught. For those who really wish to get into the real beef of how things work, however, it can be fun.
Gordy