Show that, for a body rotating with constant angular acceleration, the angular…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

Show that, for a body rotating with constant angular acceleration, the angular displacement in a time

t

is given by

\dfrac{(\omega + \omega_0)t}{2}

, where

\omega_0

and

\omega

are the initial and final angular velocities respectively.