Calculate the final intensity, Physics

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).

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