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^2Isolid​=201​ms2
﻿
Ihollow=112ms2I_{hollow} = \frac{1}{12}ms^2Ihollow​=121​ms2
The following are the variables for the equations...
I = the moment of inertia 
(﻿kg/m2
).
m = the body's mass (kg).
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 CalculatorInputs﻿﻿Mass, m
:10.00kg​
﻿
﻿﻿Side length, s
:4.00m​
﻿
Output﻿﻿Moment of Inertia, I (solid)
:8.00kg m^2​
﻿
﻿
Isolid=120ms2I_{solid} = \frac{1}{20}ms^2Isolid​=201​ms2
﻿﻿Moment of Inertia, I (hollow)
:13.33kg m^2​
﻿
﻿
Ihollow=112ms2I_{hollow} = \frac{1}{12}ms^2Ihollow​=121​ms2
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