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Centripetal Force Using Angular Velocity

A centripetal force is a force that makes a body follow a curved path. Its direction is always orthogonal to the motion of the body and toward the fixed point of the instantaneous center of curvature of the path.

Centripetal force equals the produuct of the angular velocity squared, the mass, and the radius of the path.

Formula

QuantityVariable["F", "Force"] == Quantity[1, "Radians"^(-2)]*QuantityVariable["m", "Mass"]*QuantityVariable["r", "Radius"]*QuantityVariable["ω", "AngularVelocity"]^2

symbol description physical quantity
F centripetal force "Force"
m mass "Mass"
r radius "Radius"
ω angular velocity "AngularVelocity"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Centripetal Force Using Angular Velocity"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ ResourceObject["Centripetal Force Using Angular Velocity"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Centripetal Force Using Angular Velocity"], {QuantityVariable[ "r","Radius"] -> Quantity[1, "Meters"]}]
Out[3]=

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