Brain freeze... I'm so confused.
Don't be confused
. Let's see if I keep from confusing you even more!
Let's first start with the instantaneous level turn performance case. That's easier to explain. A simple way to explain it is this. When you turn an airplane the lift is used to both support the weight of the airplane as well as turn it. In a turn the higher wing-loaded aircraft will have to expend more of it's lift capability just to support the weight of the aircraft and has less usable lift to turn the aircraft compared to a lower wing-loaded aircraft. Therefore the lower wing loaded aircraft has a better instantaneous turn.
Here's another way to explain it: mathematically we can express turn rate and turn radius like this:
Turn Radius:
Turn Rate:
where n=g-loading, g=gravity, V=velocity
So to minimize turn radius and maximize turn rate you want velocity as low as you can get while g-loading as high as you can get. Well n (g-loading) of an airplane is bound by the maximum structural limit the airframe can take. In AH though there's a structural limit we usually hit a virtual limit of our pilot blacking out around 6g's.
How do we minimize maneuverable velocity of an airplane? One way is by decreasing wing loading. Doing a bunch of fancy math we can derive the following equation:
This nice little equation gives us the corner velocity of an airplane as a function of wing loading (the W/S term in the equation - weight / wing_surface_area ). So corner velocity then varies directly with wing loading (W/S). As wing loading increases, so does corner velocity. As wing loading decreases so does corner velocity. As we've stated already reducing velocity reduces turn radius and increase turn rate thus lower wing loading improves the instantaneous turn performance of an airplane.
Sustained level turns are much more complicated animals to explain. It'll take more time for me to come up with an explanation of how sustained turns work with wing loading factored in.
Tango
412th FS Braunco Mustangs