Angular Acceleration of a Moving Wheel

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To determine the angular acceleration of the cyclist's wheels, the problem requires calculating the total angular displacement and the time taken. The cyclist's wheels complete 8.5 revolutions in 4.6 seconds, which can be converted into radians for calculation. Participants are encouraged to demonstrate their initial attempts or thought processes to receive further assistance. Engaging in the problem-solving process is essential for effective support. Understanding the relationship between angular displacement, time, and acceleration is key to finding the solution.
underoathP
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I am having a bit of trouble with the following problem. What should I do to start?

A cyclist starts from rest and pedals so that the wheels make 8.5 revolutions in the first 4.6 s. What is the angular acceleration of the wheels (assumed constant)?
 
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Welcome to the forums underoathP,

For future reference we have https://www.physicsforums.com/forumdisplay.php?f=152" in place for such questions. With respect to your question, you are required to show some effort in solving the problem yourself, before we can help you. Perhaps if you could tell me what you have attempted or any ideas about how you could solve the problem...
 
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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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