Plastic Bottle and Aluminum can crusher

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The discussion centers on the design and calculations for a plastic bottle and aluminum can crusher that requires a crushing force of 175 lbf to 200 lbf (778.44 N to 889.64 N). The design is inspired by the cold rolling manufacturing process, and the creator faces challenges in calculating the force exerted by the drums, the spring constant (k value), and the torque required from DC motors to operate the rollers. Key specifications include roller dimensions of 0.127 meters in diameter and 0.4064 meters in length, with a gap that needs to expand from 0.019 meters to 0.0762 meters during operation.

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I created a plastic bottle and aluminum can crusher. I researched and found out that my crusher should apply at least 175 lbf - 200lbf in order to crush the beverage container. My design idea is very similar to that of a cold rolling manufacturing process. Although I have research the cold rolling process and the calculations involved, I am still having trouble relating it to my design. As you can see from the attached image, the crusher will do a best effort attempt at crushing the article, if the force excedes that of the rollers then the springs attached (with a particular k value) will compress resulting in an increase in the gap between the rollers.

To clarify, my issues are...

Calculating the force of the drums on the can

Calculating the k value of the springs in order to allow them to only compress once the force of the rollers exceeds about 175 lbf

Calculating the torque needed out of a pair of DC motors in order to power the rollers


If you need more information please let me know and I will do the best I can to answer
 

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First of all, convert your units to SI units. I have no idea what a lbf is.
 
I apologize for the unit confusion, 175lbf = 778.44N, 200lbf = 889.64N. Also the diameter of the rollers is equal to .127meters with a length of .4064 meters. The gap between the rollers is equal to .019meters. Although the springs depicted are small, they will need to widen the gap from .019meters to about .0762meters.
 

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