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MoI - torus around axis perpendicular to plane

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Last modified by
on
Jul 24, 2020, 6:28:07 PM
Created by
on
Feb 8, 2014, 8:49:54 PM
MoI=M(7a2-6ab+3b2)4MoI=M(7a26ab+3b2)4
MassMass
Outer RadiusOuter Radius
Inner RadiusInner Radius
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UUID
e6d06b11-da27-11e2-8e97-bc764e04d25f

The moment of inertia of a torus of uniform density with outer radius and inner radius b about a line through the center of mass perpendicular to the plane of the torus

/attachments/e6d06b11-da27-11e2-8e97-bc764e04d25f/MoItorusaroundaxisperpendiculartoplane-illustration.png

Torus Moment of Inertia (MoI): The calculator returns the moment of inertia.

The Math / Science

The formula for the moment of inertia of a torus about a line through the center of mass is:/attachments/e6d06b11-da27-11e2-8e97-bc764e04d25f/torus.jpg

      MoI =  (M•(7a²-6ab+3b²))/4

where:

  • M = Mass of torus
  • a = inner radius of torus
  • b = outer radius of torus

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