The present disclosure is in one aspect to a dispenser for rolled sheet materials. The dispenser includes a feed roller that is rotatably mounted to a housing of the dispenser housing, and that is configured to feed a predetermined amount of sheet material from the supply of sheet material through a discharge provided along the housing of the dispenser. The dispenser also has a feed roller drive assembly with a drive motor, and a belt transmission assembly. The belt transmission assembly has a drive belt coupled to the drive motor and to the feed roller such that rotation of the feed roller is driven by operation of the drive motor.