Physics

Problem

A particle starts from rest and moves in a straight line under constant acceleration

a

, so that its speed

v

after traveling a distance

x

satisfies

v^{2}=2ax

. Which relation correctly describes the analogous situation for an object that starts from rest and rotates with constant angular acceleration

\alpha

through an angle

\theta

to reach angular speed

\omega

? a)

\omega^{2}=\alpha\theta

\omega^{2}=2\alpha/\theta

\omega^{2}=2\alpha\theta

\omega=\sqrt{2\alpha\theta}