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Put those R2800 engines in F4U airframes with a supercharger / turbocharger suitable for the bomber escort mission. Or else fix P-38 for the bomber escort mission and use F4U for the multitude of missions taking place below 20,000 feet.
A question: where was the throttle and carburetor of the two-stage R-2800 located? Before aux stage, or between the stages?
As a bigger change - opt for a two-spar wing, retract the main wheels in front of the front spar, so there is ample space in the wings for consumables, predominantly fuel?
The standard P-47 wing might have been able to hold around 50 gals in each wing just in the leading edge and tank/s behind undercarriage leg.
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Bubble canopies had NOT been invented yet, so that is pie in the sky.
Likewise, ALL military fighter control surfaces to that point and been fabric covered. The Ford Trimotor and Junkers Ju-52 (and earlier civil planes) may have had metal control surfaces, but were not fast enough to excite flutter to any degree. What would cause anyone to cover them with metal without considerable testing of same? Particularly flutter testing. It had not been done and there was NO indication that it SHOULD be done until combat at high speeds indicated maybe quicker roll and pitch were needed. I doubt the fabric rudder ever inconvenienced anyone with lack of effectiveness. The rudder was probably covered with metal the first time just because the rest of the surfaces were.
To me it would make much more sense to ask P&W to make a 2-stage supercharger for the R-2800 instead of a single stage with turbocharger.
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So maybe we get some slack for the P-47, which solved a LOT of problems when it got to Europe. Not entirely, but it certainly flew missions the Spitfire and Hurricanes could not fly. All in all, a pretty decent high-altitude fighter. In fact, probably the best of WWII above 30,000 feet.
I might have gone with different armament had I been there and in charge ... and maybe NOT. Depends on what could be found that was demonstrably better than the Browning .50 and also available to the USA in quantity at the time. Maybe the Browning .50 was the best we had to offer at the time.
There was no possibility to come up with a Bearcat-like thing since the specification for the P-47 called for both the turbocharger AND the range.
AileronsWith what were the control surfaces of the Spitfire, Bf-109, P-38 and P-40 covered with?.