Re: Natural Eq'm of Cardioid

Thank you both for your help thus far. I've used the arc length
formula and came up with a different value for s than of that of you
"noone" but, I will go through and check my calculations again. My
big problem is in calculating the radius of curvature. If anyone
could provide me with a bit more detail here, I'm sure I'd be able to
make the connection. I just have no idea how to calculate the radius
of curvature.

the formula for curvature I have is K = [abs(y'')] / [1+(y')^2]^(3/2)

so does this mean y=f(x)=1-cos(theta)? If so, then i guess i'll just
have to do some really nasty work especially for the y'' (i'll have to
you product rule and chain rule to some ugly equation) I just have a
feeling this is not right.

Again, any help on this is greatly appreciated! Thanks!!!

.

Relevant Pages

  • Re: Natural Eqm of Cardioid
    ... I will go through and check my calculations again. ... big problem is in calculating the radius of curvature. ... you product rule and chain rule to some ugly equation) I just have a ...
    (sci.math)
  • Re: two questions on the bend of the space
    ... > Is it more or less uniform that bend? ... This sort of curvature has the dimensions of 1/length. ... sphere of radius r the orientation changes by 2*pi when you go all ... travelling in the direction of the arrow. ...
    (sci.physics)
  • Re: Spark Gap Electrodes?
    ... spheres and toroidal shapes as the capacitive element. ... The larger the radius of curvature the greater the voltage before ...
    (sci.physics)
  • Re: Least Squares Fitting to Data v.s Finding the Radius of an Arc
    ... Least squares fitting to data method using this: ... determined the curvature of this sheet of metal via the 3 points. ... Finding the Radius of an Arc ... measure the curvature of a line from the radius of a circle passing ...
    (sci.math)
  • Re: radius of curvature and discrete data question
    ... radius of curvature from x- and y-values and I don't have the toolbox ... >>> curvature of the set. ... > circular arc. ...
    (comp.soft-sys.matlab)
Quantcast