Physics > Circular Motion > 2.0 Dynamics of circular motion
Circular Motion
1.0 Introduction
1.1 Angular Variables
1.2 Kinematic equation for circular motion
1.3 Relation between angular and linear variables
1.4 Unit vectors along the radius and tangent
1.5 Velocity and acceleration of particle in circular motion
2.0 Dynamics of circular motion
3.0 Motion in a vertical circle
4.0 Rigid body rotating in a vertical circle
5.0 Circular turning of roads
6.0 Conical Pendulum
7.0 Death well
8.0 Rotor
9.0 Bending of a cyclist or motorcyclist while taking turn
10.0 Centrifugal force
2.1 Centripetal force
1.2 Kinematic equation for circular motion
1.3 Relation between angular and linear variables
1.4 Unit vectors along the radius and tangent
1.5 Velocity and acceleration of particle in circular motion
Centripetal force is the net force towards the center, which acts on a particle in a circular motion.
For example, a particle of mass $m$ tied to an inextensible massless string undergoing circular motion of radius r with angular velocity ω about the center O as shown in the fig.
The centripetal force is $\left( {m{\omega ^2}r} \right)\;{\text{or}}\;\left( {\frac{{m{v^2}}}{r}} \right)$.
In this example, the centripetal force is provided by the tension $T$ in the string.
$$T = \frac{{m{v^2}}}{r}$$
