Uniform Circular Motion
Bodies have a tendency to move in a straight line. For the bodies making a circular motion at a constant speed, there must be some force that keeps them on a circular path. Such a force is called the centripetal force. The reaction of this force is called centrifugal force. This means that both these forces are equal and opposite in direction.
Centrifugal force is given by,
F = mv2 / r
We known that, ω = v / r
Substituting this relation into the equation,
F = mv2 / r
F = m(rω)2 / r
F = mrω2
Dynamics of Circular Motion
Circular motion is a motion in which an object moves around a fixed point in a circular motion. It can be both uniform and non-uniform. If there is no tangential component of acceleration then it is a uniform circular motion, and if the tangential component of acceleration is present, then it is a non-uniform circular motion.
There are lots of examples around us in our daily lives where bodies perform circular motions every day. From the hands of the clock to a car turning on a banked road. All these are examples of circular motion. This motion can be classified into two categories – uniform circular motion and non-uniform circular motion. It is essential to know the dynamics and the equation of the body performing the circular motion. These dynamics allow us to analyze these motions and calculate the statistics related to the behaviour of the body in such motion.