The inside wing is ...travelling slower through the air than the outside wing ....Thus, it stalls first.
Here is where your explanation lacks logic... The leap from 'wing travelling slower' to 'wing stalling'... we're teaching that stalls result from high angles of attack, NOT from lack of airspeed.
also,
Now just use the standard lift equation to compare the lift on both wings. All other things being equal (which they're not, but let's keep it simple) the 'V' squared makes the inside wing have less lift than the outside and stalls first.
soooo... You're saying that
lack of airspeed = lack of lift
lack of lift = stall
Sorry, that's just wrong. please stop teaching that.
In your initial stall lesson, you should be teaching:
lack of airspeed = increased AOA to maintain vertical speed(lift stays the same)
excessive AOA = stall
So get the lift equation right out of there. It's got nothing to do with the amount of lift, other than the fact that AOA must increase TO KEEP LIFT THE SAME.
NB: In a balanced turn, if the attidude and bank are constant, whether climbing or descending, lift is virtually EQAL between the two wings. Otherwise, your bank would be changing. Now, when you go to explain the need for inside and outside aileron in climbing and descending turns, you'll have to explain that you lied in a previous lesson. WAY TO CONFUSE YOUR POOR STUDENT!!
I must disagree with the "inside wing moves slower therefore stalls first" explanation in favour of the spiral staircase one.
I haven't done the math on the airspeed difference between the two wings in a turn, but I think its effect is negligible compared to the effect of the AOA difference.
Please, correct me if I'm wrong.
I see the "airspeed difference" explanation as being actually detrimental, as it is an attempt to simplify things but results in confusion. Any critically thinking student will naturally question your explanation.
Their thoughts will develop:In a one-minute turn with a radius of several hundred meters, at speeds of 45-80 knots, how much effect will a few meters difference between the wings be? Maybe a half knot or so from wingtip to wingtip? Can that really be the cause of what can be a fairly drastic wing drop? Or is it infact more, like 15 knots or so? Besides, in a very steep bank (90 degrees), the difference in turn radius from one wing to the other becomes almost nil, yet the wing drop is still pronounced, hmm, how do we explain this?? Besides, didn't the instructor just tell me that stalling is a function of AOA, NOT airspeed?
And, wait a minute, if there is less lift coming from the inside wing, shouldn't the wing drop be due to lack of lift, and NOT due to a stall? which is it?
Suddenly, your student is pondering this when they should be thinking about AOA.
Reminds me of the old "air going over the wing travels further in the same time, so therefore it is faster" explanation of lift... simple, but WRONG.
Or, my favorite, the old "coreolis causes your toilet to drain clockwise" explanation... um, NO!!
Instead of "oversimplifying", why not just explain it right the first time and avoid confusion. If you don't want to explain it properly, just tell them which wing will drop sooner. That's really all they need to know anyway. As for the "why", say: "I'll get into that in more detail later" and move on, instead of making up some neat little incorrect explanation.
Just a question for you "slower wing: less lift: stall" people....
Put the following planes in order from most to least lift:
(all planes are equal, zero bank, travelling in a straight line)
A: an aircraft in level flight, 100 mph
B: an aircraft in 500fpm descent, 100 mph
C: an aircraft in 500 fpm climb., 100mph
D: an aircraft in level flight, 2 knots above stall speed