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Twin engine aircraft do not have counter-rotating engines. While this would make sense from an aerodynamic engineering point of view, it would greatly increase the complexity of the aircraft, having to design and produce two completely different engines for one aircraft.

The engines do not run in synch per se, but once at cruise speed and altitude, the pilot will make minor adjustments to reduce any excessive wave-harmonic vibrations.

Q: Two twin-engine planes like the Cessna 3l0 and derivatives normally function with the engines counter-rotating at least once they are at cruise altitude also do the engines run in synch?

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well derivatives cannt be used without limits so it is application for calculus