How Does Tension Affect the Mass and Velocity of a Guitar String?

AI Thread Summary
The discussion focuses on calculating the wave velocity of a guitar string and its relationship with tension and mass. The wave velocity is determined using the formula V = F(2)L, resulting in a velocity of 297.6 m/s for a steel B-string resonating at 240 Hertz. To find the mass of a 3 m long piece of the string, the mass per unit length can be derived from the wave velocity and tension of 84.0 N. The participants express confusion about the formulas needed to relate speed, tension, and mass per unit length. Understanding these relationships is crucial for accurately calculating the mass of the string.
jamielees
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Homework Statement



A typical steel B-string in a guitar resonates at its fundamental frequency at 240 Hertz. The length of the string is 0.620 m. What is the wave velocity along the string? Find your answer in m/s.
V=F(2)L
240(2)(.620)= 297.6

so THEN the question asks;

The tension in the above string is 84.0 N. Calculate the mass of a 3 m long piece of the steel string. Find your answer in kilograms.


we know that ; From the velocity of the wave and the tension we can find the mass per unit length. The total mass is the mass per unit length times length.
I think my formulas are confused. or I'm not sure what formula to use?
 
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jamielees said:
we know that ; From the velocity of the wave and the tension we can find the mass per unit length. The total mass is the mass per unit length times length.
I think my formulas are confused. or I'm not sure what formula to use?

What did you learn is the relation between speed, tension and mass of unit length?

ehild
 

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