Finding fundamental frequency with length and successive frequencies

In summary, the problem is asking for the fundamental frequency of standing waves on a 1.3 m long string fixed at both ends, which are seen as successive frequencies of 24Hz and 48Hz. The equation fo = nv/4L may be used to solve for this, but it is unclear how to use it in this context. "Successive frequencies" means that standing waves can only exist at 24Hz and 48Hz, and not at any frequency in between. It is also unclear how many wavelengths would be present at the fundamental frequency and at successive harmonics.
  • #1
cyclingnerd
1
0

Homework Statement


Standing waves on a 1.3 m long string that is fixed at both ends are seen as successive frequencies of 24Hz and 48 Hz. What is the fundamental frequency?


Homework Equations


fo = nv/4L


The Attempt at a Solution


Okay, so I don't really know if that is the right equation, so I can't really see how I'm supposed to solve for this... Please help!
 
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  • #2
What do they mean by "are seen as successive frequencies"?
 
  • #3
klawlor419 said:
What do they mean by "are seen as successive frequencies"?
They mean that standing waves can exist on the string at those two frequencies, but at no frequency in between.
cyclingnerd (I could say, fellow cyclingnerd :approve:) how many wavelengths would there be on a string vibrating at its fundamental frequency? How many at successive harmonics?
 

Related to Finding fundamental frequency with length and successive frequencies

1. How do you find the fundamental frequency with length and successive frequencies?

To find the fundamental frequency with length and successive frequencies, you will need to measure the length of the vibrating object and the frequency of the sound it produces. Then, divide the speed of sound by the length to get the fundamental frequency.

2. What is the speed of sound?

The speed of sound is the rate at which sound waves travel through a medium. In air, the speed of sound is approximately 343 meters per second at room temperature.

3. Can any object produce a fundamental frequency?

Yes, any object that can vibrate can produce a fundamental frequency. This includes strings, pipes, and even your vocal cords.

4. How do successive frequencies affect the fundamental frequency?

Successive frequencies, also known as harmonics, are multiples of the fundamental frequency. They can affect the overall sound quality and timbre of an object, but the fundamental frequency remains the lowest and most dominant frequency.

5. Why is it important to find the fundamental frequency?

Finding the fundamental frequency can provide key information about the physical properties of an object, such as its length and composition. It is also essential in music and sound engineering for creating harmonies and tuning instruments.

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