Abstract: An air conditioning apparatus for an automobile in which a desired tension of a film damper is always maintained regardless of a movement of the film damper. A third shaft 14 is connected to a truncated conical-shaped first tapered pulley 21, and a fourth shaft 15 is connected to a truncated conical shaped second tapered pulley 22. The second film damper 18 is wound on the third and fourth shafts 14 and 15, and a second wire 20 is spirally wound onto the first and second tapered pulleys 21 and 22. The first and second tapered pulleys 21 and 22 are arranged such that they are oppositely tapered in such a manner that the amount of movement of the damper film 14 and the wire 20 is substantially equal, not only between the third shaft 14 as a drive shaft and the first pulley connected to the shaft 14, but also between the fourth shaft 15 as a driven shaft and the second pulley 22 connected to the shaft 15. Therefore, an excessive stretching and slackening of the damper film and the wire is prevented.