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Onset rate doesn't make much if any practical difference
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Only if you want to the answer to the question
"WHEN does cut out occur?"
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(For this reason, normal turbulence would seem quite unlikely to produce cut behaviour.)
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Yes, it certainly will produce a cut out if the acceleration reaches the threshold.
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As soon as the g level falls below about +0.1 indicated, the float stops floating properly, and the carburettor therefore stops metering. Exactly what reduced positive g will cause misbehaviour will depend upon the friction in the system and any slosh in the float chamber, leading to slight variation on a case by case basis; but this sort of detail is way beyond the scope of a simulation of this nature.
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Once again, in an engine consuming 100 gallons per hour, the tiny bit in the float bowl will not last a cycle....
Even in a lycoming consuming 9 gallons per hour, a cut out and rpm change can be heard in turbulence or any negative acceleration.
Where do think kids get the airplane engine noises, "WAAAA waaaaaaaa WWWAAAAAAA" when playing from??