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Fourier analysis of a particular spectrum includes the harmonic frequencies 749 Hz , 963 Hz , and 1070 Hz . Part A What is the fundamental frequency f1, assuming that f1 > 100 Hz?

Respuesta :

Answer:

The fundamental frequency is 107 Hz.

Explanation:

Given that,

Harmonic frequency is

First frequency = 749 Hz

Second frequency = 963 Hz

Third frequency = 1070 Hz

We need to calculate the fundamental frequency

According to given data,

[tex]\dfrac{963}{749}=\dfrac{9}{7}[/tex]

[tex]\dfrac{1070}{963}=\dfrac{10}{9}[/tex]

Assuming that f₁ > 100 Hz

The fundamental frequency is

[tex]f_{1}=\dfrac{1070}{10}[/tex]

[tex]f_{1}=107\ Hz[/tex]

Hence, The fundamental frequency is 107 Hz.