Anonymous
Anonymous asked in Science & MathematicsPhysics · 1 month ago

Guitar string physics problem?

A guitar string is made of nylon and has a diameter of 0.8mm. The elastic modulus of nylon is about 2.7 GPa (where 1 GPa = 10^9 Pa). If the string is tightened to a tension of 148N, by what percentage will its length be increased?

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  • 1 month ago
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    The cross-sectional area of the string is around

    (pi)(0.4 mm)^2 = 5.03 x 10^(-7) m^2.

    The stress on the string is F/A

    = (148 N)/(5.03 x 10^(-7) m^2) = 0.2944 GPa.

    So the "strain" is 0.2944/2.7 = 11%

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