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Adapter sleeves serve to mount and remove bearings with tapered bores onto cylindrical shafts. Adapter sleeves are used to compensate for a size deviation between the bearing bore and shaft diameter or to convert sizes from metric to inch. Both adapter and removal sleeves utilize lock nuts to hold the bearing in position after being mounted on the sleeve. Threads located on the small end of the tapered sleeve are used in conjunction with a nut to push the bearing up the tapered surface. This allows the bearing and sleeve to seat firmly in place.