A circular loop with radius r is rotating with constant angular velocity ω in a uniform electric field with magnitude E. The axis of rotation is perpendicular to the electric field direction and is along the diameter of the loop. Initially, the electric flux through the loop is at its maximum value. Write an equation for the electric flux through the loop as a function of time in terms of r, E, and ω. (Use any variable or symbol stated above along with the following as necessary: t.)