Abstract: The finishing or polishing wheel comprises a flap pack hub spaced from the axis of the wheel and a drive hub mounted on a rotary shaft and carrying the flap pack hub. The flap pack hub includes an axially extending reach disposed between a pair of opposed radially extending reaches to form an annular peripheral recess that opens radially outward. An array of axially extending, circumferentially and equidistantly spaced pins span the recess between the opposed radially extending reaches. A finishing flap pack is mounted on each pin and extends outwardly therefrom.