The original speed of the aircraft .50 M2 was around 700 rpm (the heavy-barrel ground gun did about 450-550 rpm). The water-cooled naval AA version also did 700 rpm. The aircraft M2 was 'tweaked' a bit around 1940 which raised its rpm to up to 900 rpm. However, as others have commented the actual RoF varied quite a bit depending on such factors as the age and condition of the gun, the installation and so on, so 750-850 rpm is normally quoted as the typical range.
Synchronised installations saw a big fall-off in RoF, with an average of 400-450 rpm being typical. This affected early P-40 and P-51, and the P-39/63 family. The big Browning appeared to have been particularly badly affected by synchronisation, others did not lose so much (the German guns in particular lost only about 10% of their free RoF).
The .50 M3 managed around 1,200 rpm but that saw little if any use in WW2.
A couple of articles on my website concerning the performance of aircraft guns in WW2:
CANNON OR MACHINE GUN WORLD WAR 2 FIGHTER GUN EFFECTIVENESS
Tony Williams: Military gun and ammunition
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