A satellite has a total weight (on Earth) of 225 lbs, and each of the solar panels weighs 26 lbs. The body of the satellite has mass moment of inertia about the z-axis of 6 slug-ft2, and the panels can be modeled as flat plates. The satellite spins with a rate of 9.5 rpm about the z-axis when the solar panels are positioned in the xy plane. Determine the spin rate about z (rpm) after a motor on the satellite has rotated both panels to be positioned in the yz plane (as shown in the figure).