You pass. At the very least, if you're wrong we're both wrong identically.
One of the interesting things that I realized, when starting to think hard about the TUT, is that at a constant "airspeed" (really, at a constant speed in inertial space, because the air may be moving), not only is the rotation around the z axis constant, but the centrifugal acceleration along the y axis is constant, too. Igor already knew this.
I just want to NOT hit the ground on the 2ND or 3RD loop.
PS: I've been out of school for more years than I care to remember, so to 'L with your question!