When climbing, you need some right rudder to keep the ball centered. If you perform a half roll and continue to climb upside-down, which rudder will you have to use to stay coordinated? Why do we need right rudder in a climb, anyway? Is it because of slipstream rotation? The propeller drags some air around with it, and the airplane continually advances through this slipstream of deflected air. The fin, being behind the portion of the propeller disk where the blades are going left to right, feels a push to the right.
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