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 Relation Between Linear Velocity and Angular Velocity
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Angular velocity & its relation with linear velocity
Every particle of a rotating body moves in a circle. Angular displacement of a given particle about its centre in unit time is defined as angular velocity.

Average angular velocity = ΔΘ/Δt

Instantaneous angular velocity, ω = dΘ / dt

v = wr, where v – linear velocity of particle moving in a circle of radius r

All parts of a moving body have the same angular velocity in pure rotation motion.

Angular velocity, ω, is a vector quantity

If you curl your fingers of right hand in the sense of rotation, thumb will give direction of angular velocity.

V = ω x r

Angular Acceleration is given by rate of change of angular velocity with respect to time.

α = dω / dt
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