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Moment of Inertia Ratio

The moment of inertia ratio is the ratio of the actual moment of inertia to an object's inertia if it were a point mass.

The moment of inertia ratio equals the moment of inertia divided by the mass times the radius squared.

Formula

QuantityVariable["γ", "MomentOfInertiaRatio"] == QuantityVariable["I", "MomentOfInertia"]/(QuantityVariable["m", "Mass"]*QuantityVariable["R", "Radius"]^2)

symbol description physical quantity
γ moment of inertia ratio "MomentOfInertiaRatio"
I moment of inertia "MomentOfInertia"
m mass "Mass"
R radius "Radius"

Forms

Examples

Get the resource:

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

Get the formula:

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

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Moment of Inertia Ratio"], {QuantityVariable["m","Mass"] -> Quantity[0.51`, "Kilograms"], QuantityVariable["\[Gamma]","MomentOfInertiaRatio"] -> 605.18`}]
Out[3]=

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