A multi-speed transmission module is provided that can passively and automatically upshift and downshift between two speed ratios, even if the speed of the output member does not decrease. The transmission module includes a planetary gear set. A torque-transmitting mechanism is engageable to connect the two members of the planetary gear set for common rotation. A centripetal member is configured to apply a first axial force urging engagement of the torque-transmitting mechanism. The first axial force increases as the speed of the output member increases. A torque-to-thrust actuator, such as a ball screw actuator, is connected for rotation with the input member and is configured to apply a second axial force opposing engagement of the torque-transmitting mechanism.