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Moment of Inertia - Solid Icosahedron

Last modified by
on
Jan 31, 2022, 3:27:03 PM
Created by
on
Jul 6, 2016, 2:50:33 PM
Ix,solid=ms2ϕ210
(m)mass
(s)side length
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fdb44234-4388-11e6-9770-bc764e2038f2

The Moment of Inertia for a Solid Regular Convex Icosahedron calculator computes the moment of inertia based on the mass and dimension of the uniform sides.

INSTRUCTIONS: Choose units and enter the following:

  • (m) Mass
  • (S) Side Length

Moment of Inertia for a Solid Regular Icosahedron (I= Iy): The calculator returns the moment of inertia.

The Math / Science

The formula for the Moment of Inertia for a Solid Icosahedron is:

Ix,solid=Iy,solid=Iz,solid=ms2ϕ210

where:

  • Ix and Iy = Moment of Inertia
  • m = mass
  • s = side length
  • ϕ=1+52

References

The formula and equation for Moment of Inertia are from Wikipedia (https://en.wikipedia.org/wiki/List_of_moments_of_inertia).


This equation, Moment of Inertia - Solid Icosahedron, is used in 1 page
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