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

  • Thread starter Thread starter Marco884
  • Start date Start date
  • Tags Tags
    Inertia Power
Click For Summary

Discussion Overview

The discussion centers around the measurement of inertia, specifically why it is expressed in meters to the fourth power. Participants explore the relationship between inertia and geometric moments, as well as the implications of using area in calculations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants question why inertia is measured in meters to the fourth power, seeking an analogical explanation.
  • One participant suggests that the calculation of inertia is analogous to the classical moment of inertia, where mass is multiplied by distance squared, but in this case, area is used instead.
  • A participant references Wikipedia to inquire whether distance must be multiplied in each case of inertia when mass is not available.
  • Another participant clarifies that the correct mathematical expression for a moment involves treating the body as a statistical distribution of point masses, allowing for the application of mathematical definitions to calculate various moments.
  • One participant expresses that the provided link was helpful but still has further questions regarding static moments.
  • A participant expresses confusion about a Polish link shared in the discussion, indicating a language barrier.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the interpretation of inertia and static moments, with multiple viewpoints and questions remaining unresolved.

Contextual Notes

Some limitations include potential confusion regarding the definitions of static moments and the mathematical expressions involved in calculating inertia. There is also a language barrier affecting comprehension of certain references.

Marco884
Messages
5
Reaction score
0
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?!
 
Engineering news on Phys.org
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.
 
Last edited by a moderator:
  • Like
Likes   Reactions: Marco884
Really helped me this link, things were quite different than I thought but I still have smal questions :)
 
Last edited:
yes of course
 
Man I don't understand polish...
 
Hehe .. Static moments = Momenty statyczne
I guess you know the rest.. :)
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
3K
Replies
8
Views
3K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 15 ·
Replies
15
Views
3K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 8 ·
Replies
8
Views
4K
Replies
9
Views
1K
  • · Replies 10 ·
Replies
10
Views
3K
Replies
8
Views
2K
  • · Replies 16 ·
Replies
16
Views
2K