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Moment of Inertia of a Sphere

The mass moment of inertia measures the extent to which an object resists rotational acceleration about a particular axis, and is the rotational analogue to mass. For a uniform solid sphere, the moments of inertia are taken to be about an axis passing through the sphere's center of mass.

The moment of inertia of a uniform solid sphere is proportional to the mass and the square of the radius.

Formula

QuantityVariable["I", "MomentOfInertia"] == (2*QuantityVariable["m", "Mass"]*QuantityVariable["r", "Radius"]^2)/5

symbol description physical quantity
I moment of inertia "MomentOfInertia"
m mass "Mass"
r radius "Radius"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Moment of Inertia of a Sphere"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Moment of Inertia of a Sphere"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Moment of Inertia of a Sphere"], {QuantityVariable["m","Mass"] -> Quantity[1, "Kilograms"], QuantityVariable["I","MomentOfInertia"] -> Quantity[0.4`, "Kilograms" ("Meters")^2]}]
Out[3]=

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