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wanting to climb when on full throttle and dive when throttle
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That is how airplanes work.
Adding power does not make the airplane go faster like your car. It makes the airplane climb. You have to keep it from climbing in order to accelerate and re-trim for the new speed.
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If we trim the aircraft for a certain airspeed in level flight, then change the power setting, the airplane will either climb or descend to maintain the airspeed for which it is trimmed.
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http://flighttraining.aopa.org/stude...ls/engine.html