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

[Sace Ver]

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.

 

[Buzz Bloom]

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

 

[Sace Ver]

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.

 

[haruspex]

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?

 

[Buzz Bloom]

Hi @Sace Ver:

You should find the Wikipedia article

https://en.wikipedia.org/wiki/Speed_of_sound​

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