How Many Vibrations Does a 880Hz Violin String Make Over 332m?

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Homework Help Overview

The problem involves a violin string vibrating at a frequency of 880Hz and questions how many vibrations occur as the sound travels 332 meters through air at 0 degrees Celsius.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the interpretation of the question, particularly the reference to "it" and whether it pertains to the violin string or the sound waves. There are suggestions to calculate the speed of sound in air and to determine the number of wavelengths based on frequency and distance.

Discussion Status

Participants are exploring different interpretations of the problem and discussing the necessary calculations, including the speed of sound and its implications for the number of vibrations. Some guidance has been offered regarding assumptions about conditions like temperature and atmospheric pressure.

Contextual Notes

There are mentions of using values from textbooks versus online sources for the speed of sound, indicating potential discrepancies in information. Participants are also considering the implications of standard atmospheric conditions in their calculations.

Sace Ver
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Homework Statement


A violin string is vibrating at a frequency of 880Hz. How many vibrations does it make when the sound produced travels 332m through air at temperature of 0 degrees Celsius.

Homework Equations


Not sure.

The Attempt at a Solution


I'm not quite sure how to solve this equation.
 
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Sace Ver said:
How many vibrations does it make when the sound produced travels 332m through air at temperature of 0 degrees Celsius.
Hi @Sace Ver:

I have some problems understand what the question means. The word "it" seems to be referring to the violin string, which makes no sense.

So, I am guessing the question intends to ask how many wavelengths of sound appear in the air between the violin and some target 332m away. You need to find the speed of sound in air at 0 degrees C. I suggest you should also assume sea level and standard atmospheric pressure. I assume that how to do that is in the textbook you are using. Can you then calculate the number of wavelengths given the frequency, speed, and distance?

Hope this helps.

Regards,
Buzz
 
Buzz Bloom said:
Hi @Sace Ver:

I have some problems understand what the question means. The word "it" seems to be referring to the violin string, which makes no sense.

So, I am guessing the question intends to ask how many wavelengths of sound appear in the air between the violin and some target 332m away. You need to find the speed of sound in air at 0 degrees C. I suggest you should also assume sea level and standard atmospheric pressure. I assume that how to do that is in the textbook you are using. Can you then calculate the number of wavelengths given the frequency, speed, and distance?

Hope this helps.

Regards,
Buzz
After obtaining speed which as you said was 332m/s I'm not quite sure which formula to use next.
 
Sace Ver said:
After obtaining speed which as you said was 332m/s I'm not quite sure which formula to use next.
So what is the wavelength in air?
 
Hi @Sace Ver:

You should find the Wikipedia article
helpful, especially the section 10.2 Other methods. Note that Wikipedia gives a slightly different value for the speed than 332 m/s. I suggest you use the value from your textbook because that is probably what your teacher expects.

Regards,
Buzz
 

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