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Equation of Motion Using Final and Initial Angle

Equations of motion are equations that describe the behavior of a physical system in terms of its motion as a function of time.

The final angular velocity squared equals the initial angular velocity squared plus twice the angular acceleration times the difference between the final and initial angles.

Formula

QuantityVariable[Subscript["ω", "f"], "AngularVelocity"]^2 == 2*QuantityVariable["α", "AngularAcceleration"]*(QuantityVariable[Subscript["θ", "f"], "Angle"] - QuantityVariable[Subscript["θ", "i"], "Angle"]) + QuantityVariable[Subscript["ω", "i"], "AngularVelocity"]^2

symbol description physical quantity
ωf final angular velocity "AngularVelocity"
α angular acceleration "AngularAcceleration"
θf final angle "Angle"
θi initial angle "Angle"
ωi initial angular velocity "AngularVelocity"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Equation of Motion Using Final and Initial Angle"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ ResourceObject["Equation of Motion Using Final and Initial Angle"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Equation of Motion Using Final and Initial Angle"], \ {QuantityVariable[ \!\(\*SubscriptBox[\("\[Theta]"\), \("f"\)]\),"Angle"] -> Quantity[1, "Radians"]}]
Out[3]=

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