A guitar string has a length of 642.0 mm and a mass of 3.70 g. The rope presents its fundamental mode of vibration at a frequency of 196.0 Hz. Figure 1: Guitar string What is the wavelength, the speed of propagation of the waves and the voltage in the rope?
A guitar string has a length of 642.0 mm and a mass of 3.70 g. The rope presents its fundamental mode of vibration at a frequency of 196.0 Hz. Figure 1: Guitar string What is the wavelength, the speed of propagation of the waves and the voltage in the rope?
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Transcribed Image Text:A guitar string has a length of 642.0 mm and a mass of 3.70 g. The rope presents
its fundamental mode of vibration at a frequency of 196.0 Hz.
Figure 1: Guitar string
What is the wavelength, the speed of propagation of the waves and the voltage in
the rope?
Expert Solution
Step 1
The given guitar string has a length of 642 mm and a mass of 3.7 g.
When this guitar string is plucked, a standing wave is generated on the string. This standing wave has a frequency which depends on the force of tension on the string.
This standing wave can vibrate with either its fundamental frequency, or its harmonics.
The fundamental vibrations of a standing wave produced on a string of length L are represented as
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