For a body rotating with constant angular acceleration

PHYSICS · Subjective · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

\alpha

, prove that the average angular velocity over a time interval

t

is equal to the arithmetic mean of its initial and final angular velocities, i.e. show that

\omega_{\text{avg}} = \dfrac{\omega_{0}+\omega}{2}