Moment of inertia formula for a propeller

In summary, the conversation discusses the moment of inertia formula for a 2 bladed propeller. While a simple rod formula may be a good estimate for a high school physics problem, there may be other generally accepted formulas used by manufacturers that take into account the propeller's geometry and mass distribution. However, if only given the mass and length of the propeller, the rod formula may be the only option.
  • #1
localrob
23
1
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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  • #2
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?
 
  • #3
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.
 
  • #4
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.
 
  • #5
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.
 

FAQ: Moment of inertia formula for a propeller

What is the moment of inertia formula for a propeller?

The moment of inertia formula for a propeller is I = (m * r^2) / 2, where I is the moment of inertia, m is the mass of the propeller, and r is the radius of the propeller.

Why is moment of inertia important for propellers?

Moment of inertia is important for propellers because it measures the resistance of the propeller to changes in its rotation. This affects the propeller's performance and stability during operation.

What factors affect the moment of inertia of a propeller?

The moment of inertia of a propeller is affected by the mass of the propeller, the distribution of that mass, and the propeller's shape and size. A heavier propeller with more of its mass located farther from the center of rotation will have a larger moment of inertia.

How is the moment of inertia of a propeller calculated?

The moment of inertia of a propeller can be calculated by using the formula I = (m * r^2) / 2, where I is the moment of inertia, m is the mass of the propeller, and r is the radius of the propeller. This formula can be applied to both simple and complex propeller shapes.

How does the moment of inertia of a propeller impact its performance?

The moment of inertia of a propeller can impact its performance by affecting its speed, acceleration, and stability. A higher moment of inertia can result in slower rotation and decreased performance, while a lower moment of inertia can lead to faster rotation and improved performance.

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