The extraction fan in a vacuum cleaner reduces the pressure inside the canister. Atmospheric air, which is at an absolute pressure of about 14.7 psi, is driven by that pressure up the hose towards the evacuated canister, and carries with it all of the debris you are trying to clean up. As atmospheric pressure is near constant, you can never get more pressure differential than that, so what makes one vacuum cleaner more powerful than another is simply how much air it can move. Powerful vacuums can maintain that pressure differential even with large bore hoses.
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