How to find out the maximum gearing ratio that can be connected to a PMA 12 volt

Question

How to find out the maximum gearing ratio that can be connected to a PMA 12 volt generator with dimensions. The mechanism connected to the shaft produces 111.404N of force with a time interval of 2 to 4 seconds. The displaced distance of the mechanism connected to the shaft is 0.8605meters, therefore the power produced varies from 47.93 Watts to 19.174 Watts. The gearing box needs to have a maximum diameter of 3.8cm. Could someone tell me how to find out the maximum gear ratio or guide me with how to do it, or other information I need to consider. I do not have a specific number of teeth, distance of depth I want to have between the gears. As long as I am able to maximize the gearing ratio it will be the best.

Thanks in advanced

Explanation / Answer

First find out the rpm from given velocity than apply rpm and teeth relationship to find no of teeth.

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