(I) If a violin string vibrates at 440 Hz as its fundamental frequency, what are the

Chapter 11, Problem 52P

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QUESTION:

Problem 52P

(I) If a violin string vibrates at 440 Hz as its fundamental frequency, what are the frequencies of the first four harmonics?

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QUESTION:

Problem 52P

(I) If a violin string vibrates at 440 Hz as its fundamental frequency, what are the frequencies of the first four harmonics?

ANSWER:

Solution 52P

Step 1 of 5:

The fundamental frequency of a given violin string is f1. We are going to find the frequencies of first four harmonics.

The fundamental frequency f1 = 440 Hz

The formula relating the higher harmonics and the fundamental frequency for a given string is expressed as

Where fn is the frequency of the higher harmonics

        n is the number of harmonics

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