$w^2v$ in Polar Form

Algebra Level 3

Given $w=3+3i$ and $v=-2 \sqrt{3}+2i,$ $w^2v$ can be expressed as $r(\cos \alpha^{\circ}+i\sin \alpha^{\circ}),$ where $r$ is a real number and $0 \leq \alpha \leq 360.$ What is the value of $r+\alpha?$