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Moment of Inertia of a Point Mass

The mass moment of inertia measures the extent to which an object resists rotational acceleration about a particular axis, and is the rotational analog to mass.

The mass moment of inertia for a point mass is mass times the axial distance squared.

Formula

QuantityVariable["I", "MomentOfInertia"] == QuantityVariable["m", "Mass"]*QuantityVariable["r", "Length"]^2

symbol description physical quantity
I moment of inertia "MomentOfInertia"
m mass "Mass"
r axial distance "Length"

Forms

Examples

Get the resource:

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

Get the formula:

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

Use some values:

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

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