Frequency and length of a flute

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The discussion centers on determining the frequency produced by a flute that is approximately 1 foot long. Participants express difficulty finding relevant equations in their textbooks to calculate this frequency. A helpful resource is shared, linking to an Australian music website that provides information on flutes and clarinets. The conversation highlights the need for clear formulas to aid in understanding the relationship between the flute's length and its frequency. Overall, the thread emphasizes the importance of accessible educational resources for solving physics problems related to musical instruments.
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Homework Statement



A flute is about 1 foot long, what frequency would you expect the flute to produce


Homework Equations



I can't find anywhere in the book to get this information, there's a lot about frequency but without an equation I am lost.

The Attempt at a Solution



None :(
 
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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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