Class 11 Physics Rotational Motion Angular velocity

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 = w r , 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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