This acceleration is the standard result for non-uniform circular motion.

Solving applications dealing with non-uniform circular motion involves force analysis.

In non-uniform circular motion, normal force and weight may point in the same direction.

See also the article on non-uniform circular motion.

Application to non-uniform circular motion and orbital motion of a particle.

In Non-uniform circular motion an object is moving in a circular path with a varying speed.

In non-uniform circular motion, there are additional forces acting on the object due to a non-zero tangential acceleration.

Unlike tangential acceleration, centripetal acceleration is present in both uniform and non-uniform circular motion.

In non-uniform circular motion the net acceleration (a) is along direction of Δv which is directed inside circle but does not pass through its center (see figure).

Using these coordinates, the motion along the path is viewed as a succession of circular paths of ever-changing center, and at each position s constitutes non-uniform circular motion at that position with radius ρ.