JEE • Physics

Circular Motion

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Angular Velocity

The handbook gives average and instantaneous angular velocity from angular displacement.

Average angular velocity
ωav=θ2−θ1t2−t1=ΔθΔt\omega_{av}=\frac{\theta_2-\theta_1}{t_2-t_1}=\frac{\Delta\theta}{\Delta t}
Instantaneous angular velocity
ω=dθdt\omega=\frac{d\theta}{dt}
angular displacement
omegatheta

Variables & Notation

θ\theta

angle used in the source formula or diagram

ω\omega

angular velocity