What is the equation for average angular acceleration?

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The equation for average angular acceleration is α = Δω/Δt, where Δω represents the change in angular velocity and Δt is the change in time. The initial confusion arose from mixing it up with the formula for average angular speed, which is W avg = Δθ/Δt. Clarification was provided that the average angular acceleration specifically focuses on the change in angular velocity over time. This distinction is important for accurately understanding rotational motion. The discussion concluded with appreciation for the clarification received.
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I was just wondering what the equation for average angular acceleration is

At first i thought it was W avg = Delta Pheta/ Delta Time
but then i think that might be the Average Angular Speed formula...

Any ideas? i know it's a simple question so hopefully no one will get annoyed =P
 
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\alpha = \frac{\Delta \omega}{\Delta t}
 
Thanks that helped! =)
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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