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Area Moment of Inertia of a Quarter Disk about a Centroidal Axis

The second moment of area, also known as moment of inertia of a plane area, area moment of inertia or second area moment, is a geometrical property of an area that reflects how its points are distributed with regard to an arbitrary axis.

The second moment of area for a quarter disk equals the radius to the fourth power multiplied by a constant.

Formula

QuantityVariable["J", "SecondMomentOfArea"] == (-4/(9*Pi) + Pi/16)*QuantityVariable["R", "Radius"]^4

symbol description physical quantity
J second moment of area "SecondMomentOfArea"
R radius "Radius"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Area Moment of Inertia of a Quarter Disk about a \ Centroidal Axis"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ ResourceObject[ "Area Moment of Inertia of a Quarter Disk about a Centroidal Axis"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Area Moment of Inertia of a Quarter Disk about a Centroidal \ Axis"], {QuantityVariable["J","SecondMomentOfArea"] -> Quantity[0.00343`, ("Meters")^4]}]
Out[3]=

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