Angular Velocity and Angular Acceleration

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The discussion revolves around calculating angular acceleration and angular velocity for a human centrifuge scenario. The problem states that the centrifuge completes 20 revolutions in 1 minute, prompting the need to find these values using the correct units. The user initially struggles with unit conversions and the application of relevant equations. After receiving guidance, they confirm that their calculation for angular acceleration is correct at 40 rev/min² and express confidence in finding angular velocity. The conversation also touches on the use of LaTeX typesetting for mathematical expressions.
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I feel really dumb, as this should be incredibly easy to figure out, but I keep getting the wrong answers. I am including the book's data so I can figure out how this needs to be done and then plug in my own values.

Homework Statement



Pilots can be tested for the stresses of flying high-speed jets in a whirling "human centrifuge," which takes 1.0 min to turn through 20 complete revolutions before reaching its final speed.

What is its angular acceleration (assumed constant) (in rev/min^2) and its angular velocity in rpm?

Homework Equations



Code:
\theta (t) = \theta_0 +\omega_0t + \frac{1}{2}\alpha t^2  
\omega (t) = \omega_0 + \alpha t.
[\CODE]

[h2]The Attempt at a Solution[/h2]

I have tried finding the frequency and then multiplying it by 2\pi, but I don't get the right answer. The book's values are: 
Ang. Acc = 40 rev/min^2
Ang. Vel = 40 rpm
 
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i think it might have something to do with your units

theta = (1/2).alpha.t^2

you want to find alpha in rev/min^2
so input theta in revolutions and t in mins to get the correct alpha
 
I don't think I have a value for theta unless it is 2pi. Even then, that is in radians not revolutions per minute.
 
Thanks LowlyPion, my answer for angular acceleration is correct and the concept is much more clear now. I'll let you know if I get angular velocity figured out, which should be easy from here.
 
To find Angular velocity I multiply angular acceleration by time. Thanks for the help.
 
I forget how to mark this as solved, also, does anyone know how to use direct LaTeX typesetting here?
 
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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