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A string of linear density 1.5 gm is under a tension of 20 N. What should its length be if its fundamental resonance frequency is 220 Hz?
Wiki User
∙ 14y ago
Linear density for string
μ=1.5 g/m=1.5*10-3 kg/m
Tension on string
T=20 N
Wave speed on string
v=√(T/μ)=√(20/1.5*10-3)=115 m/s
Wave length
f=v/λ
λ=v/f=115/220=0.52 m
Fundamental resonance frequency
L=λ/2=0.26 m
Length of string is 0.26 m
Wiki User
∙ 14y ago
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The frequency of a string depends on its length, linear density, and tension. Most musical instruments are designed to make it easy to quickly change the tension; this will tune the instrument, or rather, the corresponding string.
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Why a sitarist adjust the tension in the string of sitar?
The frequency of a string depends on its length, linear density, and tension. Most musical instruments are designed to make it easy to quickly change the tension; this will tune the instrument, or rather, the corresponding string.
What factors decide the frequency of vibrations of a plucked string?
The four properties of the string that affect its frequency are length, diameter, tension and density. These properties are- When the length of a string is changed, it will vibrate with a different frequency. Shorter strings have higher frequency and therefore higher pitch.
What factors decides frequency of vibration of a plucked string?
The four properties of the string that affect its frequency are length, diameter, tension and density. These properties are- When the length of a string is changed, it will vibrate with a different frequency. Shorter strings have higher frequency and therefore higher pitch.
What factors decide the frequency of vibration of plucked string?
The four properties of the string that affect its frequency are length, diameter, tension and density. These properties are- When the length of a string is changed, it will vibrate with a different frequency. Shorter strings have higher frequency and therefore higher pitch.
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If strings with different density are used, the oscillating frequency will change, assuming that tension is maintained the same. With higher density, the frequency will go down; with lower density, the frequency will go up.The equation for frequency1 is ...f = k * tension0.5 / length / mass-per-unit-length0.5... so the frequency is inversely proportional to the square root of mass per unit length, which is related to density.--------------------------------------------------1"The Science of Musical Sound", John R. Pierce, Scientific American Library, 1983, page 22.
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