Inertia: Why Is It Measured in Meters to the Fourth Power?

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SUMMARY

Inertia is measured in meters to the fourth power due to its relationship with geometric moments, specifically when calculating the inertia moment using area instead of mass. This follows the principle of multiplying a quantity by distance squared (Kg m²) but applies to area, resulting in units of m⁴. The discussion emphasizes the importance of understanding the mathematical definition of moments and how they relate to the distribution of mass or area in a body. Resources such as Wikipedia provide foundational knowledge on the topic.

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Marco884
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Hello! :) ..Can you tell me why when I counting inertia the result must by in meters to the fourth power ?!
Why meters to the fourth power ?!. Is there analogical explanation?!
 
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Marco884 said:
Hello! :) ..Can you tell me why when I counting inertia the result must by in meters to the fourth power ?!
Why meters to the fourth power ?!. Is there analogical explanation?!
You are doing the same operation that you are doing for the "classical inertia moment", mass x distance^2 (Kg m^2), but instead of the mass you are using the area. the logical explanation is that when you are calculating a some sort of geometrical moments you are, always, multiplying a quantity x distance^2 .
 
I think you are getting confused by the measure unit. The right expression of a moment (mathematic) is
thishttps://en.m.wikipedia.org/wiki/Moment_(mathematics).
You can apply this definition because you have already applied the continuous geometrical model (little mass dots forming your body) . If you thereat your body as a statistical distribution of point you can definitely apply the maths on the link (
Your model could also be a perfect distribution).
Finally you can calculate every moment quantity you want, mass, distant (static moment), area (inertia moment), volume(solid moment)... They tell you info about distribution, so about your body.
 
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Really helped me this link, things were quite different than I thought but I still have smal questions :)
 
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yes of course
 
Man I don't understand polish...
 
Hehe .. Static moments = Momenty statyczne
I guess you know the rest.. :)
 

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