Angular Accelaration = Angular Velocity^2 ?

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SUMMARY

Angular acceleration is not equal to angular velocity squared. The correct relationship involves centripetal acceleration and tangential acceleration. Centripetal acceleration is defined as \( a_c = -(\omega^2) \times R \), where \( \omega \) is angular velocity and \( R \) is the radius. Tangential acceleration is defined as \( a_t = R \times \alpha \), where \( \alpha \) is angular acceleration. Understanding these distinctions is crucial for solving related physics problems accurately.

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  • Familiarity with angular velocity and angular acceleration
  • Knowledge of centripetal and tangential acceleration
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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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