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Math Help - the curvature of the curves

  1. #1
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    the curvature of the curves

    Hello, I need to compute the curvature of this arclength-parametrized curve:

    a(s)=( \sqrt{1+s^2}, ln(s+ \sqrt{1+s^2}))

    Could you give mi a hint?
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  2. #2
    MHF Contributor
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    Re: the curvature of the curves

    $\vec{T}=\dfrac{\partial}{\partial s}a(s)$

    $\hat{T}=\dfrac{\vec{T}}{\left\| \vec{T} \right \|}$

    $\large \kappa =\left\| \dfrac{d \hat{T}}{ds}\right \|$
    Last edited by romsek; March 5th 2014 at 02:29 PM.
    Thanks from Kaatie
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