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Right Hollow Circular Cone

This page provides a diagram and functioning calculator to compute the mass moment of inertia for a cone around it's z, x and y axes.

Iz axis=12mr2I_{z\ axis} = \frac{1}{2}mr^2

The following are the variables for the equations...

  1. I = the moment of inertia (
    
    ).
  2. h = the height of the cone (m).
  1. m = the body's mass (kg).
  1. r = distance between the centroid of the body and the axis, i.e. the radius (m).

Ix/y axis=14m(r2+2h2)I_{x/y\ axis} =\frac{1}{4}m(r^2+2h^2)


Moment of Inertia For An Octahedron Calculator

Inputs



Mass, m
:10.00kg​



Cone height, h
:5.00m​



Radius, r
:4.00m​


Output



Moment of Inertia, I (z axis)
:80.00kg m^2​


Iz axis=12mr2I_{z\ axis} = \frac{1}{2}mr^2


Moment of Inertia, I (x or y axis)
:165.00kg m^2​


Ix/y axis=14m(r2+2h2)I_{x/y\ axis} =\frac{1}{4}m(r^2+2h^2)

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