Right-Hand Rule
While holding the axis of rotation and gripping the fingers in the direction of motion of the object. If the thumb is arranged perpendicular to the curvature of the fingers then it represents the angular displacement vector. The velocity in this motion is called angular velocity.
Angular velocity is the rate of change of angular displacement. It is denoted by ω. It is a vector quantity.
ω = v/r
In the Right-Hand rule, the thumb represents the direction of angular velocity.
If a body performs anticlockwise rotation, then according to the right-hand rule, the direction of ω is along the axis of a rotation and directed upwards, while for clockwise rotation, ω is directed downwards.
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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.
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