A circle of radius, R is made to rotate about a known offset(adsbygoogle = window.adsbygoogle || []).push({});

distance,e from its center. Now the polar equation for the profile

will be e-e*cos(theta)+constant, with theta the angle from reference.

As I understand, the radius of curvature of this curve should be a

constant R. Surprisingly, when I use the polar rad. of curv. eqn. I

get a varying radius of curvature instead of constant, R.

For example, if R=2 and e=1. This will give r(@) eqn as 1+(1-1*cos

(@)) I get rad. of curvature varying (cyclic)from approx. 1.8 to 2

instead of constant 2.

Why the rad. of curvature should vary for a circle, eventhough it is

rotated about offset center?

Is it true for offset circle that at any time the osculating circle

at any point should be the circle of radius,R ?

If it is true, why the polar curvature formula is not working here?

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Radius of curvature of an offset circle

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

Loading...

Similar Threads - Radius curvature offset | Date |
---|---|

B How to integrate a polar graph with respect to radius | Jun 28, 2017 |

Derivatives in Action, Change in radius per time of circle. | Jul 17, 2015 |

Radius of curvature | Jan 5, 2011 |

Radius of Curvature in 3 Dimensions | Jun 19, 2009 |

Radius of curvature | Mar 20, 2004 |

**Physics Forums - The Fusion of Science and Community**