Load Inertia - Mass Moment of Inertia Question

AI Thread Summary
The discussion centers on verifying a calculation for load inertia related to a motor driving three rollers at a 3.5:1 gear ratio. The calculated total inertia for the rollers is 67,155 lbm-in^2, converted to 19.65 kg-m^2, leading to a reflected inertia of 5.6 kg-m^2 after dividing by the gear ratio. However, a previous employee reported a value of 2.4 kg-m^2, prompting a request for clarification on the discrepancy. Another participant suggests that the reflected inertia should be calculated as load inertia divided by the square of the gear ratio, resulting in a value of 1.604 kg-m^2. The conversation highlights the importance of accurate calculations and considerations of safety factors in engineering assessments.
mselak500
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I'm looking for some help to verify a calcualtion that was made by a previous employee.

The calcualtion was for load inetria (reflected to the motor). The motor will be driving (3) rollers at a gear ratio of 3.5:1 (motor turns 3.5 revolutions for every 1 revolution of the rolls).

I have a program that caluclates the mass moment of inertia for the rolls, and was able to verify this calucations with formulas that I found on the internet. The total inertia for all (3) rolls is 67,155 lbm-in^2. I converted this to 19.65 kg-m^2. If I divide this by the gear ratio of 3.5, I come up with 5.6 kg-m^2.

The previous employee came up with 2.4 kg-m^2.

Can someone help to tell me what I'm doing wrong.

Thanks,

I
 
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Take a look below to see if any of these equations are useful. The reflected inertia is the (load inertia) / (gearing ratio^2).

I came up with 1.604 kg-m^2. Let me know if you want me to run it through my simulator. Note: I didn't include the gearing inertia - should be minor if you're using a belt system.

http://www.danahermotion.com/website/com/eng/download/document/sizinggearheads.pdf
 
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I'm assuming the 50% saftey factor. Thanks much your all the help.
 
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