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Rack and pinion problem

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I am currently working on a mechanical flower where I will use a linear motion to create a radial motion from 0 to 90 degrees. The linear motion will be 40mm from a crankshaft and I am now having problems designing the rack and pinion. Is there any easy way to calculate or think about how the degrees and distances should be between the gears? I have done some research but have not found an easy way to calculate it and I would like some input on my current design. Right now I have the problem that the further the pinion moves upwards the more problems I get (see pictures). I would highly appreciate any help with this problem!

Thanks in advance.




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Looks to me like you need to study the theory of involute gearing a bit more before jumping into this problem. Your CAD drawings show straight-sided teeth on both the gear and the rack, but that is not how it should work. Dig into gear theory first!


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