Apparatus and method for making and cutting paper tube

A paper tube making and cutting machine includes a fixed rod, a paper tape winding mechanism, an angle measurement unit, a length measurement unit, a cutter, and a drive mechanism. The paper tape winding mechanism wraps or winds at least one paper tape around the fixed rod to form a paper tube. The angle measurement unit measures an angle of the paper tape winding mechanism or the paper tape relative to the fixed rod. The length measurement unit measures a conveyed length of the paper tape. The drive mechanism determines and sets a moving speed of the cutter along the fixed rod according to the angle and the conveyed length, such that the moving speed of the cutter is corresponding to or close to a producing speed or generation rate of the paper tube formed on the fixed rod, in order to prevent the paper tube from pushing a side surface of the cutter or to prevent the cutter from pulling and stretching the paper tube to thereby improve durability of the cutter and the quality of a cut paper tube.