On 10 Jun 2003 at 18:56, Peter Treby wrote: > Thanks to Peter Chopelas for showing that high aspect ratio paddles > are more efficient. As Bob points out, Peter's analysis is based on some assumptions that are not valid and we've argued with him about it several times (this is the third or fourth time he's posted it here or on Baidarka), however, he takes it personally and will not discuss it. Another example of the flaws in it is the horsepower requirements he estimates for a Euro paddler; 0.4hp. I've pointed out that a normal human being is incapable of this level of output. When I suggested a lower value being appropriate, he said _my_ estimate was too high. However, he still hasn't corrected his analysis to reflect what he admits is an unrealistic value. I've said it before and I'll say it again: You cannot prove a physical phenomena with mathematics. You can prove a mathematical concept with mathematics. A mathematical model of a physical process must be demonstrated to be reasonable by experiments and those experiments have not been done by Peter. Hence his "proof" stands as nothing but mathematical fiddling. Another issue is that he will not resolve his definition of efficiency with that of everyone else. Those who have done the experiments know that a _low_ aspect ratio paddle is more efficient (see "The Shape Of The Canoe" by John Winters). Those of us who have paddled with various paddles know from experience that the high aspect ratio paddles tend to be lower in efficiency. As I said in a recent post, when paddling a long day with my Greenland style paddle, my muscles get sore but my joints don't. The lower efficiency means I do more work with less accumulated stress. The basic concept in generating paddling forces efficiently is to move a lot of water at a low velocity. Greenland paddles don't do that and are therefore not as efficient as short, fat Euro paddles. Mike *************************************************************************** PaddleWise Paddling Mailing List - Any opinions or suggestions expressed here are solely those of the writer(s). You must assume the entire responsibility for reliance upon them. All postings copyright the author. Submissions: PaddleWise_at_PaddleWise.net Subscriptions: PaddleWise-request_at_PaddleWise.net Website: http://www.paddlewise.net/ ***************************************************************************Received on Tue Jun 10 2003 - 08:18:33 PDT
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