In response to FlytheSky's square loop puzzle:
Sorry Flythesky, not to be condescending, you've made so many oversights and errors that it's kind of comical. You do indeed mix and confuse ground speed with airspeed in your description.Ā* But IĀ*see that you do not describe them. Ā*
You also do not define what you mean by ''vertical'' or ''square loop''. Do you mean square loop relative to the ground or square loop relative to the air mass? Ā*
The common everyday square loop that is seen by an observor.Ā*
They are two very different things in wind.
I'll try to be helpful though. First, please note that you cannot truly turn ''vertical'' in a twenty knot wind. A true square loop is physically impossible in such a wind. You display a lack of experience to say that it is impossible, I do it all the time.
You can EITHER pitch the plane up 90 degrees to a vertical pitch orientation, OR you can make the plane ascend vertically over the same patch of ground, BUT YOU CANNOT DO BOTH AT THE SAME TIME IN WIND. It is physically impossible.Ā* If you're tring to say that the plane can not be in aĀ* perfectly vertical orientation and ascend vertically in a wind, who cares, the goal is to have the plane ascend in a vertical line.Ā* In a wind you have to make corrections to fly a geometric shape.
Ā* And my plane is in a pretty much vertical orientaion doing such manuvers.
Option 1, the vertical climb relative to the ground: You'd have to pitch up at just the right angle (greater than 90 degrees) into and against the wind so that the wind would keep you ascending/hovering over the same spot of ground while you gain altitude. Pretty impossible to accomplish, but even if you could hit the angle right, the plane would not appear to be rising vertically like a rocket or a ''normal'' square loop. Again you display your inexperience, it's done all the time. Ā*
It would appear to be ascending straight up relative to the ground while being pitched toward the canopy at a significant angle (''alpha'').Ā* You've never flown a plane that is capable of vertical lines have you? Ā* Ā*
That's not quite what you intended in your description,Ā* You fail miserably as a mind reader.
and not quite the vertical leg of a ''square loop''.Ā* As long as the plane is tracing a vertical line it is.
In this scenario, you would gain a bit of headwind at the top when you pitch fully upwind, but not the full twenty knots. Part of that twenty knots was already being imparted to the plane as headwind on the up leg, because the plane was pitched into the wind on the way up.Ā* What you are saying is hardly the case.Ā* And any one familiar with just a decent sport plane would know that.
This part is irrelevant
.Ā* The common sense meaning of my post is intended.
The only other option compatible with physical reality doesn't quite work for a ''square loop'' either. Option 2, the climb at vertical/90 degree angle of pitch: Simply pitching up at a 90 degree angle would result in the plane being blown downwind as it climbs. In this case, the plane would be pitched straight up (vertically pitched) but would not be ascending straight up over the same patch of ground. It would be moving up at a diagonal relative to the pilot and ground. Therefore when pitching fully upwind at the top of the loop, you would not gain any headwind at all. You've already been in that wind, moving with it at exactly 20 knots. Your plane might trace a square in the air mass, but would not trace a square visually,- more of a trapezoid.
You've got to think this through and visualize the plane flying within the moving air mass. You cannot fly ''vertically'' in this situation at all. Either the plane is pitched up 90 degrees and moving horizontally with the wind OR it is pitched toward the canopy to fight the wind and stay on a true vertical line relative to the ground. In either case, it is not going ''vertical'' in the way you described.
You seem to be intent on limiting the description of a square loop to something that is a perfect representation of a geometric shape.Ā* I doubt that that has ever been accomplished and my attempts are definitely not perfect.Ā* So splitting hairs is silly.Ā*