How Do You Convert Linear Momentum to Angular Momentum?

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To convert linear momentum to angular momentum, the relationship involves the equations linear momentum (p = mv) and angular momentum (L = mrw), where r is the radius and w is angular velocity. The discussion highlights confusion around applying conservation of momentum in this context. The user seeks clarification on translating linear momentum into angular momentum effectively. Understanding the connection between linear velocity and angular velocity is crucial for solving related problems. The conversation emphasizes the need for clear definitions and relationships in physics concepts.
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The Attempt at a Solution


I just can't remember how to translate linear momentum to angular momentum. I'm not sure how to apply conservation of momentum.
 

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i've not yet seen the attached file, it's not yet approved.

linear momentum = mv
now v = rw
w is angular velocity.

angular momentum = mrw

was that what you were asking?
 
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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