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thewall

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## Homework Statement

A fan loses an 11 gram piece 460mm from the shaft center. It rotates at 1000 RPM and cannot operate if the shaft is out of balance by more than 8%. Prove whether or not the fan can still operate

## Homework Equations

Fc = mwr2

## The Attempt at a Solution

I have found the force added by the imbalance to be 55.5N but can't figure out how to relate this to a % of unbalance as I would need to know the mass of the whole fan blade assembly. I am thinking that 11 grams missing from a 1 kg fan blade would cause a higher percentage imbalance than it would in a 100 kg fan blade.

Could someone tell me if I am going about this problem the right way and if so how to do this, or do I need to take a different approach other than using centripetal forces. What is a % out of balance related to forces, center of gravity, moment of inertia?