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PHYS 250 Recitation 14-Oscillations and Waves

PHYS 250 Recitation 14-Oscillations and Waves

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<strong>Waves</strong> Problem. A 0.55-m-long guitar string emits 220 Hz as its fundamental. The mass of the<br />

string that is vibrating is 1 gram.<br />

What is the period of this oscillation?<br />

What is the wavelength of this oscillation?<br />

What is the wave speed along the string?<br />

What is the tension in the string?<br />

What is the linear density µ of the string?<br />

What is the string’s second harmonic? What is the string’s third harmonic?<br />

If you halve the tension in the string, what is the fundamental frequency of the string?<br />

By what factor would you have to change the tension (up or down?) for the fundamental<br />

frequency of the string to go up one octave?<br />

If you pluck the string when your finger is on the 5 th fret (so ¾ of the original length now<br />

vibrates), what fundamental sound is emitted?

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