Vector Calculus

If $\vec{v} = \vec{\omega} \times \vec{r}$ represents the velocity of a rigid body rotating with constant angular velocity $\vec{\omega}$, then $\nabla \times \vec{v}$ equals:

Options:

• (A) $2 \vec{\omega}$
• (B) $\vec{\omega}$
• (C) $\vec{0}$
• (D) $\frac{1}{2} \vec{\omega}$