Calculating Well Depth: Solving for Standing Sound Waves at 48, 80, and 112 Hz

In summary, the problem involves finding the depth of a well using information about the standing waves established at frequencies of 48, 80, and 112 Hz. The speed of sound is given as 343m/s and the equations for height are not useful for this particular problem. Instead, one should consider the relationship between wavelength and the length of a one side closed tube and assume that the given frequencies correspond to three consecutive harmonics.
  • #1
Angie913
17
0
There's this problem I'm having lots of trouble with. It is:
A person hums into the top of a well and finds that the standing waves are established at frequencies of 48, 80, and 112 Hz. The freq. of 48 Hz is not necessarily the fundamental freq. The speed of sound is 343m/s. How deep is the well?
I'm not sure where to start! The only equations we have for height are:
h=.5gt^2
and
h=velocitysound(t2-t1) which doesn't help! I'm not sure what I should use. Any hints are great! Thanks
 
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  • #2
Okay, if you're lost when considering height, then try looking at the other parts of the problem.
 
  • #3
Consider the relationship between wavelength and length of a one side closed tube. You may have to assume that the given frequencies corresponds to three consecutive harmonics (n, n+1 and n+2)
 

FAQ: Calculating Well Depth: Solving for Standing Sound Waves at 48, 80, and 112 Hz

What are complex sound waves?

Complex sound waves are made up of multiple simple sound waves with different frequencies and amplitudes. They are characterized by their unique patterns, also known as waveforms.

How are complex sound waves produced?

Complex sound waves are produced when multiple sound sources, such as musical instruments or human voices, create sound waves that combine and interact with each other.

What is the difference between complex and simple sound waves?

The main difference between complex and simple sound waves is the number of frequencies present. Simple sound waves have only one frequency, while complex sound waves have multiple frequencies, resulting in a more intricate waveform.

How do complex sound waves affect our perception of sound?

Complex sound waves can have a significant impact on our perception of sound. The combination of different frequencies and amplitudes can create a richer and more nuanced sound, making it more pleasant to listen to.

Can complex sound waves be analyzed and measured?

Yes, complex sound waves can be analyzed and measured using tools such as a spectrum analyzer. This allows scientists to break down the different frequencies present and study the unique patterns and characteristics of complex sound waves.

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