Hi F4UDOA,
>I have been trying to prove that the F4U accelerates better than it is represented in AH for a long time but I have not been able to because of the "climb and acceleration" club on the boards. They swear that the two are one and the same.
That's Newton's fault only :-) We've actually mathematically proven the equivalence of climb and acceleration to you, though of course only because we failed at explaining it well enough for you to understand it so you can verify it for yourself.
>It IS possible for the F4U to acclerate better than it climb because of the RAM air affect.
The difference in "climb" and "high-speed" power is real, so you've really discovered a significant design difference between the F6F and the F4U here.
However, this doesn't mean there's an internal contradiction in the equivalence of climb and acceleration. The important thing to remember is that both are equivalent in any specific flight condition, but not (of course) for different flight conditions.
Imagine an F6F and an F4U flying next to each other at the F6F's top speed. By definition, the F6F can neither accelerate nor climb at top speed - all of its power is consumed just overcoming air resistance.
The F4U, on the other hand, has a power reserve at this speed. If the pilot advances the throttle to full power now, his aircraft will start to accelerate since the F4U has a higher top speed than the F6F. However, he has another option: He can pull up a little and keep going at the same speed as the F6F, but climb away from it with his extra power.
Again, climb and acceleration prove to be interchangable :-)
How's the situation at low speed? Cruising next to each other, F6F and F4U advance their throttles to the firewall. Enjoying greater specific excess power at low speed, the F6F will outclimb the F4U if the planes go for a climbing contest, or leave it behind if they accelerate level.
Climb and acceleration are interchangable here, too :-)
But: While the aircraft accelerate, they leave the flight situation they started at, and traverse a whole lot of other flight situations. At the starting situation, the F6F had more specific excess power, somewhere in the medium speed range is a point where both have equal excess power, and at high speeds the F4U is superior - as we've already seen.
Now what's going to happen if we give the aircraft a bit more time for a race?
At frst, the F6F pulls ahead, faster than the F4U all of the time. It also reaches the point of equality before the F4U does, so it keeps outrunning the F4U even beyond that point. The F4U, having better high-speed aerodynamics (and additional ram power) steadily decreases the speed difference though. While it's far behind when it matches the F6F's speed for the first time, it out-accelerates it for the rest of race, catching up with and finally overtaking the F6F.
I guess the pitfall in understanding the equivalence of climb and acceleration is just that they're equivalent for each snapshot only, for a single frame in a long film, even though each frame in the film is different.
For the race, you can't put a single number on the acceleration capability as it varies with speed. The same is true for the climb rate - though you usually read a single number for that in the books, the truth is that this number is valid for the speed of best climb only. It's the same with acceleration - it's highest at some low speed, and zero at top speed.
Since climb and acceleration are equivalent, the highest acceleration actually is reached at the speed of best climb :-)
Well, I hope you enjoyed my attempt to show the difference between simple situations, for which it's easy to give accurate statements, and complex situations that can give people headaches :-)
Regards,
Henning (HoHun)