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THE FEUTEX TOOLKIT

Polar Curve Curvature from Derivatives

Calculate local curvature of a polar curve from radius and angular derivatives.

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01 Your input
02 Your result
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FormulaCurvature = abs(r**2+2*dr**2-r*ddr)/(r**2+dr**2)**1.5
Sources and model references

Made for real tasks

  • Calculate local curvature of a polar curve from radius and angular derivatives.
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Worked example

Inputs

Radius
3 number
First angular derivative
1 number
Second angular derivative
0 number

Expected results

Curvature
0.3478505426 1/length

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter radius, first angular derivative, second angular derivative.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "r": 3,
  "dr": 1,
  "ddr": 0
}

Accuracy and scope

Derivatives are with respect to angle in radians at the same point. Radius is restricted positive.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.