The air remover comprises a roller (52) projecting for an appropriate angular extension or its side surface from a window provided in a shell of the hair remover. The roller is rotated by an electric motor (34) and is mounted on a hub (56) constrained to rotate in relation to the roller. The latter translates cyclically in both directions in relation to the hub and has at least two series of angularly equally spaced slits (74) with the slits parallel to a plane perpendicular to the hub. On the hub is fixed a series of plates (80, 82) for each series of slits. The plates when at rest are also parallel to a plane perpendicular to the hub and extend radially thereto outward. The plates are elastically deformable perpendicularly to their plane with the outermost edge of the plates of each series facing associated slit of one of the series of slits. The amplitude of the cyclic translation of the roller in relation to the hub is such as to bend the plates so that each of them exerts on the edge of the associated slit with which it comes in contact a gripping force desired when the associated series of slits is opposite the window.
