randomly polarized light such as sun light with

Question

Randomly polarized light (such as sun light) with intensity of I₀ passes through three polarizers (P₁, P₂, P₃) consecutively.  P₁ and P₃ are stationary, and their polarization planes are perpendicular to each other. In contrary, the polarization plane of P₂ is rotating at an angular frequency of w₀. Assume the polarization plane of P₂ is parallel to that of P₁ at t=0. Please calculate the final intensity I₃(t).