How Does Pipe Closure Affect Organ Pitch and Length?

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The lowest note on an organ is 16.4 Hz, which corresponds to a specific length for the organ pipe. The shortest open organ pipe that resonates at this frequency is calculated to be 32.8 meters. When the same pipe is closed, the pitch changes, resulting in a length of 65.6 meters. Participants in the discussion are seeking clarification on the equations used to derive these measurements. Understanding the impact of pipe closure on pitch and length is crucial for organ design and acoustics.
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1. the lowest note on an organ is 16.4 Hz. What is the shortest open organ pipe that will resonate at this frequnecy? What would be the pitch if the same organ pipe were closed?



3. is the answer 32.8 meters and 65.6 meters?
 
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Hello megannnx3,

Welcome to Physics Forums!

megannnx3 said:
1. the lowest note on an organ is 16.4 Hz. What is the shortest open organ pipe that will resonate at this frequnecy? What would be the pitch if the same organ pipe were closed?

3. is the answer 32.8 meters and 65.6 meters?


What equations are you using? How did you arrive at those numbers? :rolleyes:
 
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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