First, ignore my paragraph two from my first post. The analysis is correct, except the results I explained were backwards to reality. Ooops
Now that that is cleared up, there is one way you can help wrap your head around this. The materials you will need are a pencil and one of those little model airplanes.
- Hold the aircraft so you are looking at the tail and put it in a 45 degree left bank.
- Put the pencil in front of the aircraft to simulate a propeller and hold the pencil parallel to the ground.
- To get a visual feel for the force rotate the pencil (keeping it parallel to the ground) so that the left side is pulled in towards you and the right side is twisted out away from you. Almost like you just stepped on the left rudder.
- Now, keeping the pencil in this awkward tilt (still parallel to the ground) we are seeing the initial application of this force that will be our GP.
- Finally, rotate the pencil (keeping that awkward tilt) clockwise like the propeller rotates. Rotate until it is perpendicular to the ground, I.E. you've rotated 90 degrees by this point.
If you've done the above correctly the upper tip of the pencil will be tilted aft, towards you and the lower tip tilted away from you. Look at how the pencil and the aircraft are positioned and ask yourself, "What would I need to do with the controls to make the airplane move the way this pencil is showing?"
The answer you should come up with is a combination of some back pressure and some right rudder. The combination of these actions would cause the nose to rise (in a left bank). And that is what GP is doing, just as the author from stick and rudder says.
BREAK!!!
HOWEVER, IMO this entire discussion is moot as the force discussed here is going to be so small I'm not even sure the best pilot in the world would recognize its existence. In a high performance war bird of the author of stick and rudder's day, with their massive propellers, the arm (distance from root of prop to tip) for this GP force to be applied was great. So the resultant moment force was great. Today airplanes are designed with much smaller propellers, because we know prop efficiency plummets if the tips break the sound barrier.
Anyway, that aside the magnitude of the force applied will be directly related to the aircraft rate of change. In this case rate of turn. If anyone here has been in an aerobatic aircraft they know that it isn't uncommon to do >25 degrees/sec pitch changes. In those cases, even with small propeller, GP is predominant. In the case of a tail dragger raising its nose for takeoff, that changes is ~20-25 degrees in just a seconds time. Again, GP is predominant.
A 45 degree turn at 100 knots is ~11 degrees per second. A resulting force that's half of the above examples. Further, the force strength is split in half AGAIN. Half of the force will be towards pitch and the other half will be towards yaw. (Assuming a perfect 45 degree bank.)
In other words, while GP sure does exist in the topic discussions scenario. I would argue that it's impact is to small to bother worrying about. I would tell my student to make it look and feel right and put my focus on understanding what they are supposed to perceive. Especially noting what I said in my previous post regarding the 'site picture.'
Hope that clears up any confusion. Apologies for the misinformation that first post.