...the acceleration that you have called a is actually proportional to vy-squared, not vx-squared. Why is this
Think of it this way: Lift depends on the velocity squared, assuming everything else is somewhat constant. Since velocity is governed by the fact than the force of gravity accelerates the planes down, hence Vy.
...you have quoted for the value of Y assume a constant acceleration...
It isn't constant, that's why I put Fy=mg-(.5)(rho)A(Vy^2)Cf. As the plane falls gravity pulls it down and drag friction keeps it from accelerating too fast, hence terminal velocity. On the other hand, I figure that since I am droping this thing in a room, the variance is somewhat negligible.
...you assume that your model plane will remain at a constant angle during its whole descent, which is unlikely
Why? The center of lift and the center of gravity are at the same point and with no elevator flaps or moments changing the AoA, it really cannot vary.
...plus you have neglected drag in the X direction, which might be important in practice.
Sorry, I forgot this! Yeah, no it's a whole lot easier to figure out, huh?
Still working on the SC replacement? I'd like to see the updated version! How's the sonic-boom-reducing lamina flow going?
Yes I'm still trying to tweek it so the area rule works as well as the current problem of have induced drag at one end of the wing; aside from finals, it's all good. I haven't gone to my site and updated anything since I've been busy. Me and my engineering proffesor are going to be working on the engine phase of Project: Lehpron
, I plan to introduce this as my entry into the 2002 Collegiate Inventor Competition this coming year in Ohio.
Lehpron is my brainchild, she's supposed to be about the size of NASA's Hyper-X, except she's supposed to takeoff on her own, it's a challege that represents my primary interest in commercial airliners: the advent of Hypersonic airliners.
I can't help it, I like hypersonic more than supersonic, do you blame me? That's probably why I'm getting behind, don't worry you guys, the "cm_8Wa" will be inaugurated by mid-January and will be revealed.
The meaning of life is curiosity; we were put on this planet to explore opportunities.