I am looking to design a gear system in order to move a door upwards 2.25 inches. To do so I am using a rack and pinion system, where the rack is connected to the door and half of the rotation of the gear should cause the rack to more the 2.25 inches in one direction. What dimensions of the rack and pinion system do I need to achieve this goal? The weight being moved is under a pound so the torque and force does not need to be high, I am just unsure about the diameter, modulus, and number of teeth necessary for the rack and pinion