## Non Unifrom Circular Motion

Hello,
Forgive me if this question is stupid.
How an object undergoes circular motion when the trajectory is not circular. I mean if it is not moving in a circle then why is it called circular motion.

Let's suppose I am running along a circular path and I have a leaking cup of paint with me. Of course as long as speed is not changing, the paint will trace out a nice circular path.
But if I start increasing my speed, won't I go slightly of the circular track because I would have traveled just a tiny bit than was necessary ??

 Quote by medwatt Hello, Forgive me if this question is stupid. How an object undergoes circular motion when the trajectory is not circular. I mean if it is not moving in a circle then why is it called circular motion.
Here a circle is used to approximate an arbitrary path locally. Given the same tangential acceleration aT, the instantaneous centripetal acceleration aR at the point P of the path is the same as on the circle. The curvature of a path is defined via the radius of a circle.
http://en.wikipedia.org/wiki/Curvatu...f_plane_curves

 Quote by medwatt Let's suppose I am running along a circular path and I have a leaking cup of paint with me. Of course as long as speed is not changing, the paint will trace out a nice circular path. But if I start increasing my speed, won't I go slightly of the circular track because I would have traveled just a tiny bit than was necessary ??
You can stay on a circular path and just increase your speed. You just need more centripetal force then.

 Tags circular, motion