Moment of Inertia of a Propeller?

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SUMMARY

The moment of inertia of a propeller can be calculated by dividing each blade into thin sections and summing the individual moments of inertia numerically. There is no universal formula for this calculation; instead, it relies on the definition of moment of inertia, represented by the integral ##\displaystyle \int r^2\;dm##. Additionally, the moment of inertia of the hub, which can be treated as a solid of revolution, should be included in the final calculation.

PREREQUISITES
  • Understanding of moment of inertia and its mathematical representation
  • Familiarity with numerical integration techniques
  • Knowledge of solid mechanics and properties of solids of revolution
  • Basic principles of propeller design and geometry
NEXT STEPS
  • Research numerical integration methods for calculating moment of inertia
  • Study solid mechanics focusing on the properties of solids of revolution
  • Explore propeller design principles and their impact on performance
  • Learn about advanced computational tools for mechanical analysis, such as MATLAB or SolidWorks
USEFUL FOR

Mechanical engineers, aerospace engineers, and students studying dynamics or propeller design will benefit from this discussion.

doggydan42
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Is there an equation for the moment of inertia of a propeller? If so, what is it? If there isn't one, can I use the moment of inertia of a rectangular slab? Thank you in advance.
 
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Hello dd, :welcome:

That's one approach. Another is to stay closer to the definition of moment of inertia and calculate ##\displaystyle \int r^2\;dm## (if you have enough shape information).
 
There is no general formula .

Quite easy to do though - just divide anyone propeller blade into thin sections and sum up the individual moments of inertia numerically .

Then multiply by number of blades and add moment of inertia of hub .

Hub is just a solid of revolution so no problem doing that bit either analytically or numerically .
 

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