Torus

This page provides a diagram and functioning calculator to compute the mass moment of inertia for a torus.
﻿
Icentre=14m(4b2+3a2)I_{centre} =\frac{1}{4}m(4b^2+3a^2)Icentre​=41​m(4b2+3a2)
﻿
Idiameter=18m(5a2+4b2)I_{diameter} =\frac{1}{8}m(5a^2+4b^2)Idiameter​=81​m(5a2+4b2)
The following are the variables for the equations...
I = the moment of inertia (﻿kg/m2
).
h = the height of the cone (m).
m = the body's mass (kg).
a = minor radius
b = major radius
﻿
Figure 1: Diagram Of The Moment of Inertia For A Torus
Moment of Inertia For A Torus CalculatorInputs﻿﻿Mass, m
:10.00kg​
﻿
﻿﻿Major Radius, b
:1.00m​
﻿
﻿﻿Minor Radius, a
:0.50m​
﻿
Output﻿﻿Moment of Inertia, I (centre)
:11.88kg m^2​
﻿
﻿
Icentre=14m(4b2+3a2)I_{centre} =\frac{1}{4}m(4b^2+3a^2)Icentre​=41​m(4b2+3a2)
﻿﻿Moment of Inertia, I (diameter)
:6.56kg m^2​
﻿
﻿
Idiameter=18m(5a2+4b2)I_{diameter} =\frac{1}{8}m(5a^2+4b^2)Idiameter​=81​m(5a2+4b2)
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