Angular Accelaration = Angular Velocity^2 ?

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Angular acceleration is not equal to angular velocity squared; instead, they represent different concepts in rotational motion. The discussion clarifies that centripetal acceleration is given by the formula A = - (angular velocity)^2 X Radius, while tangential acceleration relates to angular acceleration through A = Radius X Angular Acceleration. The confusion arises from mixing these distinct types of acceleration. Proper understanding of these equations is crucial for solving related physics problems accurately. Therefore, it is important to differentiate between angular acceleration, centripetal acceleration, and tangential acceleration.
makyol
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Angular Accelaration = Angular Velocity^2 ?

Homework Statement


Can we always says angular accelaration is equal to angular velocity^2? My friend said that i was wrong when think like that to solve question?


Homework Equations


Accelaration = -(angular velocity)^2 X Radius

Acceleration = Radius X Angular Accelaration


The Attempt at a Solution


When i solve those two equations together i get what i hougt. Is there any problem with that? If any please let me know where? Thanks.
 
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You are mixing up angular acceleration, centripetal acceleration, and tangential acceleration:
makyol said:
Accelaration = -(angular velocity)^2 X Radius
This relates centripetal acceleration to angular velocity:
Centripetal acceleration = ω²R

Acceleration = Radius X Angular Accelaration
This relates tangential acceleration to angular acceleration:
Tangential acceleration = αR
 
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