circular gear with a linear gear

 From:  wayne hill (WAYNEHILL5202)
10548.20 In reply to 10548.19 
Have you tried using the image search option to look for pictures with calculations?

Just typed in "How is rack pitch calculated?" with image search results and found several images with calculations.

Like:

https://www.sdp-si.com/resources/elements-of-metric-gear-technology/index.php