How to find angular acceleration

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To find the angular acceleration of a propeller slowing from 450 rev/min to 200 rev/min in 3.50 seconds, the average angular acceleration can be calculated using the formula α = Δω/Δt. The change in angular velocity (Δω) is derived from converting the initial and final speeds into radians per second. Relevant equations include the conversion of revolutions per minute to radians per second and the relationship between angular velocity and time. Understanding the variables in these equations is crucial for solving the problem effectively. The solution involves applying these concepts to determine the angular acceleration.
itsmarasilly
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Homework Statement


A propeller slows from 450 rev/min to 200 rev/min in 3.50 s. What is its angular acceleration?

Homework Equations


ac = v^2/r
and v = rw

The Attempt at a Solution


I know this is probably a simple problem, but what do the variables in the relevant equations refer to?
 
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itsmarasilly said:

Homework Statement


A propeller slows from 450 rev/min to 200 rev/min in 3.50 s. What is its angular acceleration?

Homework Equations


ac = v^2/r
and v = rw

The Attempt at a Solution


I know this is probably a simple problem, but what do the variables in the relevant equations refer to?

Here are some more relevant equations:

\frac{1 rev}{min}=\frac{1 rev}{60 s}=\frac{\pi rad}{30 s}, and
\vec{\alpha}_{ave}=\frac{\Delta\vec{\omega}}{\Delta t}.
 
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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