What is Angular Acceleration and How is it Calculated in a Cycling Scenario?

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Angular acceleration is defined as the rate of change of angular velocity over time. In the cycling scenario, the cyclist's wheels make 7.5 revolutions in 4.8 seconds, leading to an angular displacement of 15π radians. Starting from rest, the initial angular velocity is zero, allowing the use of the equation for angular displacement to solve for angular acceleration. By substituting the known values into the equation, one can calculate the constant angular acceleration. Understanding the underlying theory and concepts is crucial for accurately solving such problems.
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Angular Acceleration (please help)

A cyclist starts from rest and pedals so that the wheels make 7.5 revolutions in the first 4.8 seconds. What is the angular acceleration of the wheels (assumed constant)?
 
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One is expected to so one's own efforts before asking for help. So, what is the definition of angular acceleration?
 
KNOWN:

Angular velocity [omega]= velocity/radius of rotation

Initial angular velocity=0 [starts from rest]
Time=4.8 sec
angular displacement=7.5 rev*2pi radian.
Hence the equation...:

Angular displacement=0+1/2 *angular accln *time^2

Calculate angular accln.

But this was the stereotype part...you must emphasize on the theory and the concept behind the problem..
so answer the above question first...
 
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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