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A nylon guitar string has a linear density of 7.3 g/m and is under a tension of

ID: 2153050 • Letter: A

Question

A nylon guitar string has a linear density of 7.3 g/m and is under a tension of 155 N. The fixed supports are distance D = 90.0 cm apart. The string is oscillating in the standing wave pattern shown in below. (a) Calculate the speed of the traveling waves whose superposition gives this standing wave. (b) Calculate the wavelength of these traveling waves. (c) Calculate the frequency of these traveling waves.

A nylon guitar string has a linear density of 7.3 g/m and is under a tension of 155 N. The fixed supports are distance D = 90.0 cm apart. The string is oscillating in the standing wave pattern shown in below. (a) Calculate the speed of the traveling waves whose superposition gives this standing wave. (b) Calculate the wavelength of these traveling waves. (c) Calculate the frequency of these traveling waves.

Explanation / Answer

? = 2L = 1.8 m v = sqrt(T/(m/L)) = 144.298 m/s f = v/? = 80.16557 Hz

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