Originally posted by Timebuilder
If I were wrong, there would be no such thing as wind shear, as the new wind direction would have no trouble accelerating a aircraft to the new airspeed.
Wind shear is a change in relative wind, so it has nothing to do with this topic, as we're talking about a steady wind. "Accelerate" is a very bad word to use, because it usually refers to a change in velocity due to a net force in a direction. It's best left to refer to groundspeed. Just to keep things clear, I will point out that I understand what you're saying, because a plane has inertia, and therefore wants to stay at a certain groundspeed, and therefore when a gust of headwind blows, the airspeed will increase, just as you said. (Of course, if it's not just a gust but the wind stays with its new speed/direction, the greater drag will cause the plane to gradually decrease its airspeed to its orginal value... and decelerate to a lower groundspeed.)
Anyway, back to the 70kt hover... we are dealing with a steady wind. There is no reason (if there is, give us one) that the plane would behave any different in the 180 degree turn with a groundspeed of 0 or 70. Let me emphasize that we are ignoring the ground, and NOT trying to keep any particular ground track... we are just turning in the air.
As A^2 said, the net work done on the airplane is still the same, regardless of whether we went from 70 to -70 or 0 to -140; and centripetal acceleration will be the same with any given bank angle. The turn will take the same amount of time to complete. Everything will be the same.
And it's the relative wind that keeps the plane flying.
Completely true.
a change in wind can cause a plane to literally drop from the sky,
Completely true.
a ligh maneuverable plane can have a radical change in the relative wind under the circumstances I descrtibed
It would undergo the exact same change in relative wind as a plane turning in still air.
When thinking about all of this, keep in mind that Newtonian physics has nothing to do with motion, but acceleration. Any pre-existing motion is just the baseline from which further changes in motion (by defintion, acceleration) takes place. Imagine that you want to fly a R/C plane inside a cargo plane at FL350. Would it behave any differently? Of course not; any forces (and the subsequent accelerations) on it would change the baseline velocity, but to the R/C plane, it feels no different. Come to think of it, you don't have to do this thought experiment at all, because it's already happening: we are on the surface of a planet that is spinning at god-knows-what-angular velocity around itself, and at god-knows-what velocity around the sun, which is spinning at god-knows-what velocity around the core of our galaxy, ad infinitum. Does it make any difference to us? No. In fact, we didn't have the slightest clue for the first several thousand years of our civilization.
You are flying a real plane in a mass of air, which just happens not to have walls, unlike the cargo plane.