A particle is moving along a circular path. Let $v$, ω, α and ac be its linear velocity, angular velocity, angular acceleration and centripetal acceleration respectively. Which is the wrong statement from the following?
$\overrightarrow{\omega} \perp \overrightarrow{v}$
$\overrightarrow{\omega} \perp \overrightarrow{a}_c$
$\overrightarrow{\omega} \perp \overrightarrow{\alpha}$
$\overrightarrow{v} \perp \overrightarrow{a}_c$