Young's Modulus of guitar string

In summary, the conversation discusses the calculation of Young's modulus for a guitar string based on its diameter, length, and tension. The equation for Young's modulus is mentioned, as well as the equations for stress and strain. The attempt at a solution involves converting units to meters and using the equations for stress and strain, but there is a small error with an unmatched parentheses in the calculation for stress. Overall, the person is unsure of what they are doing wrong and is seeking clarification.
  • #1
amblove
1
0

Homework Statement



A guitar string of diameter 0.6 mm and length 0.82 m is subject to a tension of 153 N. If the string stretches an amount 0.36 mm, what is Young's modulus of the string?

Homework Equations



Y=Stress/Strain
Stress=F/A
Strain=Amount of stress/Original Length

The Attempt at a Solution



Stress=153/(pi*(0.0003^2)
Strain= 0.00036/0.82

I converted all the units to meters, but it is still not right and I'm not sure what I'm doing wrong.
 
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  • #2
What is not right? And how do you know it?
 
  • #3
There is an unmatched parentheses on your calculation for stress, but other than that nothing appears to be wrong.
 

FAQ: Young's Modulus of guitar string

What is Young's Modulus of a guitar string?

Young's Modulus is a measure of the stiffness or rigidity of a material, and specifically, in the case of a guitar string, it is a measure of the string's resistance to stretching.

Why is Young's Modulus important for guitar strings?

Young's Modulus is important for guitar strings because it affects the tone and playability of the instrument. A higher Young's Modulus means a stiffer string that will vibrate at a higher frequency, producing a brighter and louder sound. A lower Young's Modulus results in a more flexible string that will vibrate at a lower frequency, producing a softer and warmer sound.

How is Young's Modulus measured for guitar strings?

Young's Modulus is typically measured in units of gigapascals (GPa) or pounds per square inch (psi). To measure the Young's Modulus of a guitar string, the string is clamped at both ends and a known force is applied to stretch it. The amount of stretch is then measured and used to calculate the Young's Modulus.

Does the material of the guitar string affect its Young's Modulus?

Yes, the material of the guitar string does affect its Young's Modulus. Different materials have different stiffness and elasticity properties, which will result in different Young's Modulus values. For example, steel strings have a higher Young's Modulus than nylon strings, which is why they produce a brighter and louder sound.

Can the Young's Modulus of a guitar string be changed?

Yes, the Young's Modulus of a guitar string can be changed by altering its composition or dimensions. For example, using a thicker or thinner string will affect its stiffness and therefore its Young's Modulus. Additionally, changing the tension on the string by tuning it to a different pitch will also affect its Young's Modulus.

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