`I_(x, "solid") = ( m * s ^2phi^2)/10`

Enter a value for all fields

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_x = I_y): The calculator returns the moment of inertia.

The Math / Science

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

`I_(x, "solid")=I_(y, "solid")=I_(z, "solid")=(ms^2phi^2)/10`

where:

• Ix and I_y = Moment of Inertia
• m = mass
• s = side length
• `phi=(1+sqrt(5))/2`

References

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