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Thread: calculation on turning radius

  1. #1
    Join Date
    Sep 2006
    Location
    comptonwood
    Posts
    709

    calculation on turning radius

    anyone here smart enough to tell me how to get a skis turning radius from the skis dimensions?

  2. #2
    Join Date
    Jan 2006
    Location
    Alpine Meadows, CA
    Posts
    4,461
    I'm pretty sure you meant Sidecut Radius, not turning radius.

    Try this page for calculating. Use the "reverse engineering" link midway down the page. Its pretty cool.

    http://www.natew.com/frame_main.cgi/...snow/html.Main

    If the ski/board is tapered, just average the tip/tail lengths.

    For a more simple calculation, you might try this formula:

    R = l2/8d + d/2

    R = sidecut radius
    l = running length
    d = sidecut depth

    you can omit the d/2 term if you want because it is pretty much insignificant.

  3. #3
    Join Date
    Dec 2005
    Location
    in the dark
    Posts
    2,198
    I usually just go outside and draw gigantic-assed circles on the ground till i find one that fits.

  4. #4
    Join Date
    May 2006
    Location
    Land of Little Snow
    Posts
    1,041
    This one works a little better.

    http://www.websurd.com/epic2004/PMSidecutRadCalc.xls

    Put the published length of your boards in the obvious spot, then input the tip, waist, and tail into the obvious fields. The rest is automatically calculated

    (Credit goes to PhysicsMan from epic)

  5. #5
    Join Date
    Jan 2006
    Posts
    222
    Why approximate when you can get the real thing:

    Just denote tail width with tail, waist width with w, tip width with tip, tail to tip with tt and tail to waist with tw, then the sidecut radius is given by:

    radius=1/1000*sqrt(-((((tail-w)/2)^2*((tail-w)/2*tt-(tip-w)/2*tw)-(tw^2)*((tail-w)/2*tt)+ (tw^2)*((tail-w)/2*tw))/(-(tip-w)/2*tw-(tail-w)/2*tt+(tail-w)/2*tw)-(((tw^2)*tt -(((tip-w)/2)^2+tt^2)*tw -(((tail-w)/2)^2)*tt +((tail-w)/2)^2*tw)/(2*(-(tip-w)/2*tw-(tail-w)/2*tt+(tail-w)/2*tw)))*(((tw^2)*tt -(((tip-w)/2)^2+tt^2)*tw -(((tail-w)/2)^2)*tt +((tail-w)/2)^2*tw)/(2*(-(tip-w)/2*tw-(tail-w)/2*tt+(tail-w)/2*tw)))-((tw^2*(tip-w)/2 -((tail-w)/2)^2*(tip-w)/2 +(((tip-w)/2)^2+tt^2)*(tail-w)/2-(tw^2)*(tail-w)/2)/(2*(-(tip-w)/2*tw-(tail-w)/2*tt+(tail-w)/2*tw)))*((tw^2*(tip-w)/2 -((tail-w)/2)^2*(tip-w)/2 +(((tip-w)/2)^2+tt^2)*(tail-w)/2-(tw^2)*(tail-w)/2)/(2*(-(tip-w)/2*tw-(tail-w)/2*tt+(tail-w)/2*tw)))))


    Looks awkward? Try the javascript version at: http://members.fortunecity.com/hhitme/skiradius.html

    In fact, even though this formula calculates the radius of the circle uniquely defined by three points it is still an approximation of sidecut radius. Most skis actually don't have a circular sidecut and hence "radius" is not even well defined.

    Personally I prefer to go skiing...

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