Young's Modulus of guitar string

AI Thread Summary
To calculate Young's modulus for a guitar string with a diameter of 0.6 mm, length of 0.82 m, and tension of 153 N, the formulas for stress and strain are applied. Stress is calculated using the formula Stress = Force/Area, where the area is derived from the string's diameter. Strain is determined by dividing the amount of stretch (0.36 mm) by the original length (0.82 m). A calculation error was identified due to an unmatched parenthesis in the stress formula, but otherwise, the approach appears correct. Correcting the calculation should yield the appropriate value for Young's modulus.
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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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What is not right? And how do you know it?
 
There is an unmatched parentheses on your calculation for stress, but other than that nothing appears to be wrong.
 
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