If I buy the 1/2" 5 start lead screw and the 3/8" 5 start lead screws will it all work together

If the turns per inch on a lead screw is different, then the nut on the lead screw will move at a different velocity. Additional Information: Let me explain in more detail. Let's say you have two lead screws: - 1/2" 5 starts at 10 TPI = 2 turns per inch. (5 starts / 10 TPI = 1/2 inches per turn or 10 TPI / 5 Starts = 2 turns per inch.) - 3/8" 2 starts at 10 TPI = 5 turns per inch. (2 starts / 10 TPI = 1/5 inches per turn or 10 TPI / 2 starts = 5 turns per inch.) So, if two stepper motors (one connected to the 1/2" lead screw and the other connected to the 3/8" lead screw) turned 10 revolutions in 2 seconds, the 1/2" lead nut would travel 5 inches and the 3/8" lead nut would travel 2 inches at the 2 second mark.