Hi All,
I have been working on a rack and pinion router design and am currently starting the calculations to size my motors. I'm having a little bit of trouble finding some good information on torque transfer in rack and pinion systems, so I thought I would post my theoretical assumptions for comments from those intelligent that myself!
Here's my system:
Pinion pitch diameter (Module 1): 22 mm
Pulley 1 pitch diameter (attached to motor): 25.47 mm
Pulley 2 pitch diameter (attached to pinion): 66.85 mm
Therefore, my reduction ratio is 66.85 / 25.47 = 2.62:1
If my motor torque is 2 N.m at the desired RPM, could I then assume that the above system would be delivering 5.24 N.m (2 x 2.62) of torque?
Then, theoretically, if the required linear force to accelerate my load is 200 N, could I assume that with the above pinion (22 mm pitch diameter) I would require 2.2 N.m (200 x 0.011) to accelerate my load to the desired speed at the desired rate?
Am I on the right track here? Any comments would be much appreciated!
Thanks,
Toby