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The 1350hp version (-94) was used in PB4Y-2 Privateers, the power rating was for both take-off and military power up to 2000 ft. The Navy Privateers did not use turbos. A few late model B-24s used a single speed 1350hp version with turbo.
BTW the 1200 HP engines could hold 1200hp to 4900ft while running 100 rpm slower.
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3. The size of the existing superchargers. The two US engines were 1200 HP engines because they used small superchargers and accepted poor altitude performance. Many French, Italian, Russian and Japanese engines of the time (1937-41) had critical altitudes of 3-4000 meters and take-off power suffered accordingly. They catalogued engines with lower critical altitudes and better take-off power but they were rarely used.
The two US engines just didn't have a lot of extra flow left in the existing superchargers to give a lot of extra boost. Please note that the Allison was getting as much or more power from it's single speed supercharger at altitude. It was running at the equivalent of the radials on high gear.
Diameter is not the only dimension. Thickness or 'height' of the impeller, cross section/s of the housing, number of blades/fins on the impeller. All can affect the mass airflow of the entire unit in addition to the RPM of the impeller.
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One reason we didn't have War Emergency Ratings until 1941 - 1942 is we weren't IN a war until 7 Dec 1941, which it pretty damned close to 1942. The R-1830 was more or less a bomber engine, though our Seversky AT-12 (a thinly disguised 2PA), runs quite nicely on one.
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It is not a small supercharger in diameter but the P & W supercharger would only support 1200hp (net) in low gear (7.15) to about 4900ftI agree what you've said here, but I'll again state that impeller with diameter of 11 in is not a small one.
The R-1830 was very much a fighter engine, too, it was installed on the P-36, P-43. F4F, Boomerang, J-22.
It is not a small supercharger in diameter but the P & W supercharger would only support 1200hp (net) in low gear (7.15) to about 4900ft
and 1050hp in high gear (8.47) to about 13,100ft granted the impeller was turning slower than in the Allison. However the impeller tip speed was 1218fps in high gear. The smaller Allison supercharger could support 1150hp to 12,000ft using a tip speed of 1093fps (8.80 gear) and 1125hp to 15,500ft using 1193fps tip speed (9.60 gear). Apparently the "smaller" Allison supercharger could supply more air over 2,000ft higher in altitude?
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