A top spins at 30 rev/s around an axis which makes an angle of around 30 degrees with the vertical. The mass of top is 0.5 kg, its rotational inertia about its central axis is 5.0 x 10^-4 kg m^2, and its center of mass is 4.0 cm from the pivot point. When the spin is clockwise from an overhead view, what is the (i) precession rate and (ii) direction of the precession as viewed from the overhead?