A vacuum generating assembly, comprising: a rotary input member connectable to an engine rotary power takeoff; a vacuum pump having a rotor that is rotatable to generate a vacuum; a wrap spring clutch coupling the rotary input member and the vacuum pump rotor, wherein the wrap spring clutch is positionable in an engaged position, in which the wrap spring clutch operatively connects the rotary input member and the vacuum pump rotor, and a disengaged position, in which the wrap spring clutch operatively disconnects the rotary input member and the vacuum pump rotor; a vacuum actuator connectable to a vacuum conduit and operatively connected to the wrap spring clutch, wherein the vacuum actuator is movable, based on air pressure in the vacuum conduit, between a low-pressure position in which the vacuum actuator positions the wrap spring clutch in the disengaged position, and a high-pressure position in which the vacuum actuator positions the wrap spring clutch in the engaged position; a clutch control member connected to the wrap spring clutch; and a brake that is positionable in a non-braking position in which the brake permits the clutch control member to be driven by the rotary power takeoff, thereby permitting the wrap spring clutch to remain in the engaged position, and in a braking position in which the brake retards rotation of the clutch control member relative to the rotary power takeoff, bringing the wrap spring clutch to the disengaged position, wherein the vacuum actuator is operatively connected to the brake, such that movement of the vacuum actuator to the low-pressure position positions the brake in the braking position, and movement of the vacuum actuator to the high-pressure position positions the brake in the non-braking position. a rotary input member connectable to an engine rotary power takeoff; a vacuum pump having a rotor that is rotatable to generate a vacuum; a wrap spring clutch coupling the rotary input member and the vacuum pump rotor, wherein the wrap spring clutch is positionable in an engaged position, in which the wrap spring clutch operatively connects the rotary input member and the vacuum pump rotor, and a disengaged position, in which the wrap spring clutch operatively disconnects the rotary input member and the vacuum pump rotor; a vacuum actuator connectable to a vacuum conduit and operatively connected to the wrap spring clutch, wherein the vacuum actuator is movable, based on air pressure in the vacuum conduit, between a low-pressure position in which the vacuum actuator positions the wrap spring clutch in the disengaged position, and a high-pressure position in which the vacuum actuator positions the wrap spring clutch in the engaged position; a clutch control member connected to the wrap spring clutch; and a brake that is positionable in a non-braking position in which the brake permits the clutch control member to be driven by the rotary power takeoff, thereby permitting the wrap spring clutch to remain in the engaged position, and in a braking position in which the brake retards rotation of the clutch control member relative to the rotary power takeoff, bringing the wrap spring clutch to the disengaged position, wherein the vacuum actuator is operatively connected to the brake, such that movement of the vacuum actuator to the low-pressure position positions the brake in the braking position, and movement of the vacuum actuator to the high-pressure position positions the brake in the non-braking position.