Question

Questions: 1. Explain how you can raise the pitch of a note on a guitar by altering the string’s (a) length, (b) tension, or (c) thickness or mass. Be very specific about what you would do to raise the pitch.

2. If the fundamental frequency of a guitar string is 250 Hz, what is the frequency of the second harmonic? Of the third harmonic? Explain.

3. Consider a vibrating guitar string. The loudest harmonic is the fundamental, but many higher harmonics are also present. Suppose you gently place your finger in the exact middle of the string. Because you’re touching the string gently, the entire string continues to vibrate, but your finger forces a node to occur there. Which harmonics will no longer be present on the string? How will the sound of the string be affected? Explain.

4. Draw a fifth harmonic standing wave in a tube open at one end and closed at the other end. (You may include a photo of your drawing in your submission on Canvas or turn it in on paper in class, but it should be your own drawing.)

a. If the length of the tube is 100 cm, what is the wavelength of the fifth harmonic? Of the first harmonic? Explain.

b. If the frequency of the fifth harmonic is 400 Hz, what is the frequency of the first harmonic? Explain.

Answer 1

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