Area Moment of Inertia of a Half-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 regards to an arbitrary axis.
The second moment of area for a half-disk equals the radius to the fourth power multiplied by a constant factor.
Formula
![QuantityVariable["J", "SecondMomentOfArea"] == (-8/(9*Pi) + Pi/8)*QuantityVariable["R", "Radius"]^4](https://www.wolframcloud.com/objects/resourcesystem/marketplacestorage/resources/37b/37ba8501-f95f-4084-bf61-a8f1e6d9ddc2/Webpage/FormulaImage.png "Copy to Clipboard")
| symbol | description | physical quantity |
|---|---|---|
| J | second moment of area | "SecondMomentOfArea" |
| R | radius | "Radius" |