Consider the standing wave on a guitar string and the sound wavegenerated by the guitar as a result of this vibration. What dothese two waves have in common?

a) They have the same wavelength.
b) They have the same velocity.
c) They have the same frequency.
d) More than one of the above is true.
e) None of the above is true.

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Jarrod RobelLv2

10 Nov 2019

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Two transverse standing waves are shown in the drawing below.The strings have the same tension and length, but the bottom stringis more massive. Which standing wave, if either, is vibrating atthe higher frequency?

a. The top standing wave has the higher frequency because thetraveling waves have a smaller speed due to the smaller mass of thestring.

b. The top standing wave has the higher frequency, because thetraveling waves have a larger speed due to the smaller mass of thestring.

c. Both standing waves have the same frequency, because thefrequency of vibration does not depend on the mass of thestring.

d. The bottom standing wave has the higher frequency, becausethe traveling waves have a smaller speed due to the larger mass ofthe string.

e. The bottom standing wave has the higher frequency, becausethe traveling waves have a larger speed due to the larger mass ofthe string.

A guitar string is vibrating in its fundamental mode, with nodes ateach end. The length of the segment of the string that is free tovibrate is 0.380 m. The maximum transverse acceleration of a pointat the middle of the segment is 8300 m/s^2 and the maximumtransverse velocity is 3.10 m/s.

What is the amplitude of this standing wave?

What is the wave speed for the transverse traveling waves on thisstring?

Sometimes, when the wind blows across a long wire, a low-frequency "moaning" sound is produced. This sound arises because a standing wave is set up on the wire, like a standing wave on a guitar string. Assume that a wire (linear density = 0.0140 kg/m) sustains a tension of 328 N because the wire is stretched between two poles that are 8.03 m apart. The lowest frequency that an average, healthy human ear can detect is 20.0 Hz. What is the lowest harmonic number n that could be responsible for the "moaning" sound?

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