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Centripetal Acceleration Using Angular Velocity

Centripetal acceleration is the rate of change of velocity of an object with respect to time as it moves in a circular path.

Centripetal acceleration equals angular velocity squared times the radius of the path.

Formula

QuantityVariable["a", "Acceleration"] == QuantityVariable["r", "Radius"]*QuantityVariable["ω", "AngularVelocity"]^2

symbol description physical quantity
a centripetal acceleration "Acceleration"
r radius "Radius"
ω angular velocity "AngularVelocity"

Forms

Examples

Get the resource:

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

Get the formula:

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

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Centripetal Acceleration Using Angular Velocity"], \ {QuantityVariable["a","Acceleration"] -> Quantity[1, ("Meters")/("Seconds")^2], QuantityVariable["\[Omega]","AngularVelocity"] -> Quantity[1, ("Radians")/("Seconds")]}]
Out[3]=

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