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The transformer components don't rotate (or move at all) simply because they are rigidly mounted. If you suspend a thin wire in the air close to an iron object, and pass a current through the wire, it will move, being attracted toward the iron by the magnetic field produced by the current. Motors are specially arranged with the magnetic field in just the right spot so that it acts on the armature to cause rotation. Of course the armature rides on bearings so it can rotate. Transformers have no components that are free to move, and the magnetic field is directed so as to induce a voltage in the secondary winding. That's what transformers do. Nothing inside the transformer is free to rotate. Interestingly, if you ever get a chance to stand near a large transformer, you will hear a buzz or humming sound. This is the wires and iron core actually moving a very tiny amount as the magnetic field acts on them. There is no rotation though, just a small vibration back and forth as the magnetic field builds and collapses.

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