An air-powered vacuum cleaner floor tool and an air turbine therefor are provided. The floor tool comprises a housing (11) with a rotary agitator (37) mounted on the bottom thereof, and a wand connector means (35) mounted on the rear thereof and aligned with the longitudinal center of the housing (11). The wand connector (35) is used for connecting the floor tool to a vacuum cleaner wand (7). The air-powered turbine motor has a turbine chamber (13) and a rotor (23) mounted on the housing, with the turbine chamber having an air inlet (19) and an air outlet (29). The air inlet is aligned with the longitudinal center of the rotary agitator (37), and the air outlet (29) is aligned with the longitudinal center of the housing (11) and with the wand connector (35). The air outlet includes an outlet opening (29) in the turbine chamber (13). The angle which is formed by the center line (E) of the air inlet (19) of the air-powered motor, and the center line (H) of the outlet opening (29) of the turbine chamber, is less than 55°. Further, the turbine rotor (23) is rotatably mounted in the turbine chamber (13) so that the smallest area between the outer periphery of the rotor and the wall of the turbine chamber is equal to substantially one-half of the area of the outlet opening (29) of the turbine chamber (13).