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A4 already had more powerfull engine then the A3 they tested
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It should have had a more powerful engine.
Faber's A3 was running a derated engine, the limits were:
1.35 ata, 2450 rpm for 3 minutes
1.28 ata, 2350 rpm for 30 minutes
However, the AFDU overboosted it in the tests they carried out, using:
1.42 ata, 2700 rpm for 3 minutes
1.35 ata, 2450 rpm for 30 minutes
As such, before the engine failed, it's not possible to say the actual power output. It was almost certainly putting out a lot more power than when Faber flew it, and probably as much as a fully rated A4.
Of course, later in the test the engine began to fail, and power was no doubt dropping off by that time.
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so when MkIX with better engine (merlin 66) came in service in numbers with RAF, they were up against A-4's and A5's with better power as well. So the situation did not changed that much.
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The Merlin 66 engined Spitfire IX was about 20 mph faster and had up to 1,000 ft/min better climb rate than the Merlin 61 engined Spitfire IX, below 20,000 ft. That's a very large difference.
There wasn't that large an improvement in the 190 A series, if you look at the German test documents. Certainly no version of the 190 A series ever approached the climb rate of the Spitfire LF IX.