Hey. so you have two formulas for curvature:(adsbygoogle = window.adsbygoogle || []).push({});

The ordinary: |dT/ds| = |a|/|v|^{2}

And the advanced: |v x a|/|v|^{3}= |a|*sin(α)/|v|^{2}= |a_{N}|/|v|^{2}

But the problem is, those two formulas aren't the same? The top one has acceleration divided by speed squared, while the bottom one has normal component of acceleration divided by speed squared? where is my mistake?

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# Vector Calculus: Curvature

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