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Q:

Why do planes have two independant ailerons to each wing?

A:

Planes have an aileron on each wing because they act in conjunction with one another to allow the plane to move along its roll axis (which runs along the length of the fuselage). If the plane only had an aileron on one wing, the plane would not roll along the roll axis, but rather, around a point off the edge of the far wing. This would mean that planes would make much wider turns.

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