Circular Motion
2.0 Dynamics of circular motion
2.0 Dynamics of circular motion
When a particle moves with constant speed or constant angular velocity in a circle, then this type of motion is called uniform circular motion.
Note: In uniform circular motion, particle moves with constant speed but not constant velocity because its direction keeps on changing. The angular velocity remains constant as it magnitude and direction remains same.
In uniform circular motion resultant force on a particle is non-zero. This is because a centripetal force of magnitude $\left( {m{\omega ^2}r} \right)\;{\text{or}}\;\left( {\frac{{m{v^2}}}{r}} \right)$ always acts on the particle towards the center $O$.
The net acceleration in uniform circular motion is, $$\overrightarrow a = {\overrightarrow a _c}$$
Therefore net force acting on the particle is, $${\overrightarrow F _{net}} = m\overrightarrow a = m{\overrightarrow a _c}$$
This net force $\left( {{{\overrightarrow F }_{net}}} \right)$ is known as centripetal force.
