Calculating Radius of Driven Gear from Given Info

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To calculate the radius of the driven gear, the gear ratio can be determined from the rotation angles: for every 85 degrees the pinion rotates, the driven gear rotates 120 degrees. This implies a gear ratio of 120:85, which simplifies to 24:17. Given the pinion gear's diameter of 1 inch, the driven gear's diameter can be calculated using the gear ratio. It's important to consider that achieving the exact ratio may be challenging with off-the-shelf parts, and design adjustments might be necessary. Additionally, incorporating considerations for backlash is crucial in gear design.
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I'm currently designing two gears meshed together. I know that the pinion gear must travel at 85 degrees from 0 while the driven gear must travel at 120 degrees from 0 - both gears must travel and stop at the same time. In addition, I do know that the pinion gear must be 1 inche in diameter. Is there a way, based on the information given, to calculate the radius of the driven gear? Thank you very much.
 
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So for every 85 degrees the pinion rotates the other gear rotates 120 degrees.
We could also say if the pinion rotates at 85 rpm the other rotates at 120 rpm, can you work out the gear ratio now? and use that ratio to find the driven gears diameter?
 
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I see. Thank you very much.
 
You're welcome, good luck.
It's reasonably unlikely you'll be able to achieve the exact ratio with OTS (off the shelf, as opposed to bespoke) parts so you may need to alter your design.
Also, keep backlash in mind:
https://en.wikipedia.org/wiki/Backlash_(engineering)
 

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