Need help, the answer is not 7.87rad/s

A child buys a top composed of a thin uniform cylinder and a broad uniform disk. The 14.3 g cylinder has a total length of 5.90 cm. The 42.0 g disk has a radius of 2.00 cm, and its center of mass is located a distance of 1.89 cm from the tip at the bottom of the thin cylinder. The child places the top on its pedestal and gives it an angular speed of 90.5 rad/s. When she turns to show her parents, she accidentally bumps the top, which begins to precess about a vertical axis through the point where the top contacts the pedestal. As the top precesses, it makes an angle = 20.8 with the vertical axis. Use g = 9.81 m/s? for the acceleration due to gravity, and assume that the moment of inertia of the thin cylinder is negligible. Determine the precessional angular speed w,, of the top. A 16.254 wp = Incorrect rad/s