A 1.7 m -long string is fixed at both ends and tightened until the wave speed is 40 m/s . What is...
Question:
A 1.7 m -long string is fixed at both ends and tightened until the wave speed is 40 m/s . What is the frequency of the standing wave?
Standing Waves on Strings
Standing waves on strings are used in many musical instruments. For these instruments, the length of the string is very important to get the correct frequency, and thus pitch, for each note. This implies that the length of the string is related to the frequency, and indeed it is. This relationship is
$$f_n = n\frac{v}{2L} $$
where n is the harmonic, and v is the speed of the wave. The fundamental harmonic is the longest wavelength, lowest frequency wave and has n=1. The speed of the wave is related to the mass m, length L and tension T in the string as
$$v = \sqrt{\frac{T}{m/L}} $$
Answer and Explanation: 1
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View this answerWe have a string, length L = 1.7 m, fixed at both ends. The tension in the string is increased until the wave speed is v = 40 m/s. We want to know...
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Standing Wave: Definition, Equation & Theory
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Chapter 5 / Lesson 19
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Standing waves are a result of wave interference. Explore the lesson to learn about the properties of standing waves, find their formulas, and see some examples.
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