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Rotational Kinetic Energy

Rotational kinetic energy, or angular kinetic energy, is kinetic energy due to the rotation of an object and is part of its total kinetic energy.

Rotational kinetic energy equals the moment of inertia times the angular velocity squared divided by 2.

Formula

QuantityVariable["K", "Energy"] == (QuantityVariable["I", "MomentOfInertia"]*QuantityVariable["ω", "AngularVelocity"]^2)/2

symbol description physical quantity
K rotational kinetic energy "Energy"
I moment of inertia "MomentOfInertia"
ω angular velocity "AngularVelocity"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Rotational Kinetic Energy"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Rotational Kinetic Energy"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Rotational Kinetic Energy"], {QuantityVariable[ "I","MomentOfInertia"] -> Quantity[1, "Kilograms" ("Meters")^2], QuantityVariable["\[Omega]","AngularVelocity"] -> Quantity[1, ("Radians")/("Seconds")]}]
Out[3]=

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