# Law of Motion XIV

CIRCULAR MOTION
Circular Motion : When a body moves such that it always remains at a fixed distance from a fixed point then its motion is said to be circular motion. The fixed distance is called the radius of the circular path and the fixed point is called the center of the circular path.

Uniform Circular Motion : Circular motion performed with a constant speed is known as uniform circular motion.

Angular Displacement : Angle swept by the radius vector of a particle moving on a circular path is known as angular displacement of the particle.
Example: angular displacement of the particle from P1 to Pis θ.
Relation Between Angular Displacement and Linear Displacement :
Since, Angle = arc / radius
Anglular Displacement = arc P1P/ radius
θ = s/r

Angular Velocity : Rate of change of angular displacement of a body with respect to time is known as angular displacement. It is represented by ω.

Average Angular Velocity : It is defined as the ratio of total angular displacement to total time taken.

ωavg = Total Angular Displacement / Total Time Taken
ωavg = ∆θ / ∆t

Instantaneous Angular Velocity : Angular velocity of a body at some particular instant of time is known as instantaneous angular velocity
or
Average angular velocity evaluated for very short duration of time is known as instantaneous angular velocity.
Relation Between Angular Velocity and Linear Velocity

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