I need help figuring out what belt and pulleys to get. I calculated to find the torque required. using NEMA 17 for X axis. and NEMA 14 for Y axis. I measured the length of the x axis is about 29.5 in. and the Y axis is about 18.5 in.
This is all a question about mechanics engineering. The main task for this forum is Arduino code and interfacing.
Why not buy some stuff, make tests and collect the experiences?
Have You answered an earlier question about load, mass and demands for speed, or force?
Looks like you're working in pounds / ounces and feet / inches, so, how much weight will the platform be carrying in pounds, how much force to move it at what speed? How much torque can your motors supply?
Do you have a speed/torque curve (chart) for your motors?
All these things have to be known for even a ballpark estimation.
Here's a typical speed/torque curve (NOT your motor).
a 24 tooth pulley with 5mm tooth pitch will have a pitch circumference of 120mm and a pitch radius of 19.1mm or 0.752 inches. A stepper with 39 oz/in holding torque will have less starting torque, about 85~90%, so 35 / 0.752 = about 46 oz of pulling force.
A 15 tooth pulley has a pitch radius of about 0.47 inches and 74 oz of pull. Stronger but slower.