Hi italia458,
(1) THP = SHP * p.e. (from NAVAVSCOLSCOM-SG-111 page 4)
The speed of the aircraft (to be specific it would be the TAS of the aircraft) is included in the THP equation.
There is no mention of TAS in equation (1)
The reason it is falling does NOT prove that it is in an accelerating frame of reference.
Correct - but I said "... the "free fall" flight of a golf ball shows you that
you are in an accelerating frame of reference."
The ball is in "free fall" during it's flight, the ball is in an inertial frame of reference - not you.
What you feel when turning in the airplane is the centrifugal force which is a pseudo force. It is only there because YOU are in an accelerating reference frame.
Just like gravity.
I sincerely hope that you do not confuse your students with the theory of General Relativity, whilst explaining what a simple balanced turn is all about.