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Average Angular Velocity by Displacement

The angular velocity of a rotating body is defined as the rate of change of angular displacement.

The average angular velocity is the angular displacement divided by the time required for that displacement.

Formula

QuantityVariable[Overscript["ω", "_"], "AngularVelocity"] == QuantityVariable["θ", "Angle"]/QuantityVariable["t", "Time"]

symbol description physical quantity
ω̅ average angular velocity "AngularVelocity"
t time "Time"
θ angular displacement "Angle"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Average Angular Velocity by Displacement"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ ResourceObject["Average Angular Velocity by Displacement"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Average Angular Velocity by Displacement"], {QuantityVariable[ "\[Theta]","Angle"] -> Quantity[1, "Radians"], QuantityVariable["t","Time"] -> Quantity[1, "Seconds"]}]
Out[3]=

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