Moment of inertia formula for a propeller

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Homework Help Overview

The discussion revolves around determining the moment of inertia for a two-bladed propeller, focusing on the available parameters of mass and length. Participants explore the appropriateness of using a simplified model, such as a rod, to estimate the moment of inertia.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants consider using the moment of inertia formula for a rod rotating about its center as an estimate. Questions arise regarding the adequacy of this model in representing the actual geometry and mass distribution of a propeller.

Discussion Status

The discussion is ongoing, with participants sharing their thoughts on the suitability of different models. Some express confidence in using the rod approximation for educational purposes, while others acknowledge the limitations of available information and the potential for more accurate models from manufacturers.

Contextual Notes

Participants note that the only provided information is mass and length, which constrains the modeling options. There is also mention of a different formula encountered in previous discussions, but its origin remains unclear.

localrob
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Is there a moment of inertia formula for a 2 bladed propeller?
If you only have the mass and the length of the propeller, I would think a good estimate would be using a rod rotating about the middle. 1/12ml2
 
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localrob said:
Is there a moment of inertia formula for a 2 bladed propeller?
If you only have the mass and the length of the propeller, I would think a good estimate would be using a rod rotating about the middle. 1/12ml2

"Good" depends upon what you want to use the estimate for. Does a simple rod adequately describe the geometry and mass distribution of the propeller you have in mind?
 
I think that for a high school physics problem, it can be assumed to act like a rod. So when finding the rotational kinetic energy of a spinning propeller, I could use the rod formula.
But I was curious if there were another generally accepted formula for a propeller that I could use. I'm not sure what the distribution of mass is for an actual propeller, and nothing other than the mass and length are provided.
 
No doubt manufacturers of propellers will have detailed models of their propellers, including all the geometry and mass distribution. But for a problem where the only information you have is mass and length you're rather constrained to choose the rod as a model.
 
That's how I feel too. I did see a post on these forums where someone found the formula to be 2/3mr^2, but I don't know where that came from.
 

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