Finding Harmonics: Frequency Multiplication?

  • Thread starter lilkrazyrae
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In summary, to find harmonics, you multiply the harmonic number by the frequency. In the given example where f=343Hz, the first four harmonics would be f1=343Hz, f2=686Hz, f3=1029Hz, and f4=1372Hz. This method may seem easy, but there are more complex situations where it may not be applicable. However, in this case, there is no other pertinent information that has been disclosed. The problem states that a string vibrates at 343Hz in its fundamental mode and asks to find the first four harmonics, which is a simple situation with no special circumstances.
  • #1
lilkrazyrae
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In finding harmonics do you just multiply the harmonic number times the frequency? Find the first four harmonics when f=343Hz would be f1=343Hz, f2=686Hz, f3=1029Hz, and f4=1372Hz. This just seems too easy.
 
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  • #2
That's basically it! There are situations where it's a bit more complex (oddly shaped waveguides, nonuniform media etc.) but that's not the case here (unless there is other pertinent information you have not disclosed).
 
  • #3
The problem reads exactly A string vibrates in a fundamental mode at 343Hz. Find the first four harmonics. Is this a special situation??
 
  • #4
Nope - nothing special about that! For a string the harmonics are simple!
 

1. What are harmonics?

Harmonics are frequencies that are multiples of the fundamental frequency. They are created when a wave oscillates at a frequency that is an integer multiple of the fundamental frequency.

2. How do you find harmonics?

To find harmonics, you can use the formula fn = nf1, where fn is the frequency of the nth harmonic, n is the harmonic number, and f1 is the fundamental frequency.

3. Why is finding harmonics important?

Finding harmonics is important because it allows us to understand the properties of waves and how they interact with each other. It also has practical applications in fields such as acoustics, music, and electronics.

4. How do you determine the harmonic content of a signal?

The harmonic content of a signal can be determined by using a Fourier transform, which breaks down the signal into its component frequencies. The peaks in the frequency spectrum represent the harmonics present in the signal.

5. Can harmonics be harmful?

In some cases, harmonics can be harmful. For example, in electrical systems, harmonics can cause equipment to overheat and malfunction. In acoustics, harmonics can contribute to noise pollution. However, harmonics can also be beneficial, such as in music where they create different tones and timbres.

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