You are learning to play the violin. One end of the string is vibrating from the bow running along one end. The other end is tied down. The length of the string we will be looking at is 30 cm and the total mass of the string is 0,32 g. We will be modeling this as a standing wave on a string. You being to play the violin and play a note which has a frequency of 440 Hz. You (having incredible eyesight) see that there are 3 anti-nodes on the string forming a perfect sinusoidal wave (shown in diagram). L i) What is the wavelength of this standing wave? li) What is the speed of the traveling waves that make up this standing wave? iii) What is the tension of the string? v) Suppose you increase the tension of the string until you get a new standing wave. Will this standing wave have two antinodes or four antinodes? Explain. (You are still at a frequency of 440 Hz)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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You are learning to play the violin. One end of the string is vibrating from the bow running along
one end. The other end is tied down. The length of the string we will be looking at is 30 cm and
the total mass of the string is 0,32 g. We will be modeling this as a standing wave on a string.
You being to play the violin and play a note which has a frequency of 440 Hz. You (having
incredible eyesight) see that there are 3 anti-nodes on the string forming a perfect sinusoidal
wave (shown in diagram).
L
i) What is the wavelength of this standing wave?
ii) What is the speed of the traveling waves that make up this standing wave?
iii) What is the tension of the string?
iv) Suppose you increase the tension of the string until you get a new standing wave. Will this
standing wave have two antinodes or four antinodes? Explain. (You are still at a frequency
of 440 Hz)
Transcribed Image Text:You are learning to play the violin. One end of the string is vibrating from the bow running along one end. The other end is tied down. The length of the string we will be looking at is 30 cm and the total mass of the string is 0,32 g. We will be modeling this as a standing wave on a string. You being to play the violin and play a note which has a frequency of 440 Hz. You (having incredible eyesight) see that there are 3 anti-nodes on the string forming a perfect sinusoidal wave (shown in diagram). L i) What is the wavelength of this standing wave? ii) What is the speed of the traveling waves that make up this standing wave? iii) What is the tension of the string? iv) Suppose you increase the tension of the string until you get a new standing wave. Will this standing wave have two antinodes or four antinodes? Explain. (You are still at a frequency of 440 Hz)
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