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Regular Tetrahedron

This page provides a diagram and functioning calculator to compute the mass moment of inertia for a regular tetrahedron, both a solid and hollow.

Isolid=120ms2I_{solid} = \frac{1}{20}ms^2

Ihollow=112ms2I_{hollow} = \frac{1}{12}ms^2

The following are the variables for the equations...

  1. I = the moment of inertia (
    
    ).
  1. m = the body's mass (kg).
  1. s = the side length of the tetrahedron (m).
Figure 1: Diagram Of The Moment of Inertia For A Regular Tetrahedron


Moment of Inertia For A Tetrahedron Calculator

Inputs



Mass, m
:10.00kg​



Side length, s
:4.00m​


Output



Moment of Inertia, I (solid)
:8.00kg m^2​


Isolid=120ms2I_{solid} = \frac{1}{20}ms^2


Moment of Inertia, I (hollow)
:13.33kg m^2​


Ihollow=112ms2I_{hollow} = \frac{1}{12}ms^2

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