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that makes sense, and i agree its a function of the speed, but its not a constant 3mph. The only thing constant is the energy coming out of the muzzle. It would react differently to the momentum of the plane, the amount of available thrust, and the angle of dive, if the weight is also constant. I don't think its as simple as your depicting it.
And so i understand better, your calculating 3mph per second of trigger time right?
So a 5 second burst would slow the plane 15mph.
Aside from those factors, you also have the muzzle flash displacing the air going over the wing and it would effect drag, which is also dependent on the speed. So its not just the energy but also changes in the air density outside of the barrels.
Bill
Billswagger, 8 machine guns each fire one bullet. 8 bullets at 45g each are .36kg ejected. at 800rpm that's 13 - 14 firings per second, ejecting 5kg per second at a rate of 850 m/s. the p-47 is 9900 lbs or 4500 kg. the bullets momentum 4250 kg m/s must equal the planes momentum. divide by 4500 to get .9m/s backwards or 2mph not per second
And leads me to think more about the air density outside of the barrel, where although its hot gas, its not less dense or the bullets wouldn't leave the barrel, they would be sucked in.
I understand the US stopped carrying Gatling guns on the wings of F4 Phantoms in Vietnam because if one jammed the other pushed the plane into a flat spin which could not be recovered. That was a lot of recoil and way out on the wing for lots of leverage.
the GAU-8/A gatling gun (not chain) 30mm cannon mounted in a modern warthog is the size of a VW, fires at 3,900 RPM and has a recoil of 10,000 lbs. because of the off center firing (about 9 o'clock) it could and did push the aircraft to the side hence it was mounted off center (plus the nose wheel needed room). exhaust gases from the cannon were so extensive that initially they caused flame-outs in the engines. yet when in use the aircraft speed is only slowed by a few mph
how then are .50 cal machine guns. even eight, going to produce such dramatic effects in aircraft speed?