Wolfram Computation Meets Knowledge

Wolfram Formula Repository (Under Development)

Area Moment of Inertia of a Disk about a Centroidal Axis

The second moment of area, also known as the 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 disk equals the radius to the fourth power multiplied by \[Pi] divided by 4.

Formula

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

Forms

Examples

Get the resource:

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

Get the formula:

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

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Area Moment of Inertia of a Disk about a Centroidal Axis"], \ {QuantityVariable["R","Radius"] -> Quantity[0.5`, "Meters"]}]
Out[3]=

Source Metadata

  • Contributor:

Publisher Information