To reduce the attainable actuation times of an electrically actuated friction brake and simultaneously keep the friction brake inexpensive, a second transmission element (8) with an elevation curve (17) is proposed in which a coupling element (15) is provided on a first transmission element (5), and on the coupling element (15) there is arranged a follower element (14) which follows the elevation curve (17) under the action of the electric actuator (12) for the actuation of the first transmission element (5).