Angular Accelaration = Angular Velocity^2 ?

[makyol]

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.

 

[Doc Al]

You are mixing up angular acceleration, centripetal acceleration, and tangential acceleration:

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

 

[kerimek]

I would say that it is not always accurate to say that angular acceleration is equal to angular velocity squared. While it may seem like it based on the equations you have provided, there are other factors that can affect the relationship between these two variables. For example, the radius may change, or there may be other external forces acting on the object. It is important to consider all of the variables and their relationships in order to accurately determine the angular acceleration. It is always important to carefully analyze and understand the equations and their limitations before applying them to solve a problem.