Since spins are being mentioned, spin recoveries are practiced wrongly, I fear.
Most of us don't practice actual spin recoveries, because most of us don't fly airplanes approved for intentional spins.
At the point of breaking the stall when the plane is pointed straight down, how many pilots are thinking about getting that nose back up right away while their airspeed and upward turn radius are at the lowest? That ought to be the objective of the maneuver, imo. Until the airspeed reaches Va, it's impossible to overstress the wings with g-load, so make use of the fact to rotate the nose quickly upward so as to prevent excessive altitude loss and dangerously high airspeed during recovery, especially in clean planes like the Mooney. Of course, on the other hand, you want to avoid a secondary stall. And THAT is why we need to practice them — to use maximum g-load before reaching Va yet without inducing another stall. No?
No. You're saying to "rotate the nose quickly upward" while the "airspeed and upward turn radius are at the lowest", yet "you want to avoid a secondary stall". That's just the problem. If you've stalled and gotten pointed downhill like that, you're traveling downward. While you are correct that turn radius is the lowest when speed is the lowest, you still need to have a wing developing sufficient lift for that to be true. If you're spinning, you're also stalled and if you try to pull up right away you're not going to get anywhere.
There's certainly a balancing act there because you obviously can't just point the nose down forever either, but you need enough speed to avoid that secondary stall. That's why "PARE" (Power, Ailerons, Rudder, Elevator) is the go-to recovery technique. Power first - I think there's several reasons behind this, like avoiding gyroscopic effects on the prop flattening or aggravating the spin to the point where it may be unrecoverable, avoiding downward acceleration, and avoiding a possible pitch-up tendency, but regardless of the reasons, power isn't going to help you. Ailerons neutral second, because if you try to stop the spin with aileron, you're actually going to make it worse (think about induced drag and what airspeed each aileron will be subjected to during a spin). With those two things done you have a better chance of recovery, so go full Rudder against the spin to stop the spin.
Now, for the Elevator part and the "quickness" with which to use it: Keep in mind that up until this point you've been spinning, and again, if you're spinning you're also stalled. The moment you stop the spin, you're probably still just above stalling AoA and you may need to push the nose DOWN first - If you then try to get it back up quickly, you're just going to have a secondary stall. Since you're traveling downward and you're trying to get to level, your load factor will need to go to something above 1, and the quicker you try to recover, the higher above 1 the load factor will need to be and the higher your stall speed will be, at a moment when your airspeed is still quite low.
If you had to choose a single airspeed for recovery (which is, of course, impossible as you're accelerating), the optimum one would probably be around 1.4Vs which would allow you to make a 2G pull. That'll arrest the descent quickly without pulling your wings off or making you black out.
In reality, if you get back to 1G and Vs at the same time, any further pull will cause a secondary stall, and as you accelerate you can pull more and more. How can you tell how much? Well, use the stall horn! You want to pull smoothly and not too quickly until the instant you hear the stall horn, and then hold that amount of pull until the stall horn goes away, then slowly increase the pull to ride the edge of the stall horn. That will give you the quickest possible recovery, *IF* you don't pull too hard or fast and cause that secondary stall.
I really want an aerobatic airplane now. It's been far too long since my last dose of vitamin G.
Also... Mods, might want to make this a separate thread!