$A$ rigid body is rotating with angular velocity $\omega$ about an axis of rotation. Let $v$ be the linear velocity of a particle which is at a perpendicular distance $r$ from the axis of rotation. Then the relation $v = r \omega$ implies that

• A
  $\omega$ does not depend on $r$
• B
  $\omega \propto \frac{1}{r}$
• C
  $\omega \propto r$
• D
  $\omega = 0$