Question

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?

Answer 1

The fundamental frequency is 107 Hz.

Step-by-step 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,

`(963)/(749)=(9)/(7)`

`(1070)/(963)=(10)/(9)`

Assuming that f₁ > 100 Hz

The fundamental frequency is

`f_(1)=(1070)/(10)`

`f_(1)=107\ Hz`

Hence, The fundamental frequency is 107 Hz.