Wind Mill Damage: Calculating New CG

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SUMMARY

The discussion focuses on calculating the new center of gravity (CG) of a windmill after two of its three blades have broken off. The windmill's hub weighs 45,000 lbs, and each blade weighs 14,000 lbs. The original CG is located at the hub, but with two blades missing, the new CG must be determined using the weighted average of the remaining components' positions. The calculation requires knowledge of the mass and position of the remaining blade and hub.

PREREQUISITES
  • Understanding of center of gravity (CG) calculations
  • Basic knowledge of physics principles related to mass and weight
  • Familiarity with weighted averages
  • Experience with mechanical systems, particularly windmill structures
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  • Learn about the effects of structural damage on the stability of wind turbines
  • Research methods for calculating weighted averages in physics
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Mechanical engineers, physics students, and professionals involved in wind energy systems who need to understand the implications of structural damage on center of gravity and stability.

zeus1216gw
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I have a weird question that I can't figure out where to start. It's been a while since physics:

A wind mill has a hub and 3 blades the hub weights 45000 lbs and each blade weighs 14000 lbs. the CG is at the hub when the assembly is intact.

We had a storm and 2 of the 3 blades broke so where is the new CG? i can't remember how to figure this out.
 
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The position of the center of gravity is the weighted average of the positions of the centers of gravity of the remaining pieces.

The weight being the mass of each piece, of course.

So your first challenge is to figure out the location of the center of gravity of the remaining arm.
 

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