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Find the curvature at the point (x, y) on the ellipse?

  1. Apr 4, 2015 #1
    1. The problem statement, all variables and given/known data
    Find the curvature at the point (x, y) on the ellipse x^2/9+y^2/4=1.

    2. Relevant equations
    None.

    3. The attempt at a solution
    x^2/a^2+y^2/b^2=1
    so I know that a=3 and b=2 for this problem.
    x(t)=acos(t) and y(t)=bsin(t)
    so x(t)=3cos(t) and y(t)=2sin(t)
    now what? What's the formula for finding the curvature for this problem? The answer is 162/(81-5x^2)^(3/2).
     
  2. jcsd
  3. Apr 4, 2015 #2

    Delta²

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  4. Apr 4, 2015 #3

    micromass

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    How did you define curvature?
     
  5. Apr 4, 2015 #4

    Mark44

    Staff: Mentor

    If you textbook has a problem about finding curvature, I can pretty much guaranteed that it will have a formula for curvature somewhere close by in the book. That should be the first place you look.

    Also, you don't need to convert to parametric form to find the curvature.
     
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