A gaming machine for conducting a wagering game includes a mechanical input device and a display mechanism. The input device is manually moved by a player in a first plurality of directions and at a first velocity. In response to the player's movement of the input device, the display mechanism moves in a second plurality of directions and at a second velocity. The second plurality of directions and the second velocity have predetermined associations with the first plurality of directions and the first velocity, respectively. The display mechanism displays an outcome of the wagering game, wherein the outcome is preferably unaffected by the player's movement of the input device.