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Carnegie Mellon University

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Problem 51 Medium Difficulty

A piano string of mass per unit length $5.00 \times 10^{-3} \mathrm{kg} / \mathrm{m}$ is under a tension of 1350 $\mathrm{N}$ . Find the speed with which a wave travels on this string.

Answer

$5 : 20 \times 10 ^ { 2 } \mathrm { m } / \mathrm { s }$

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Video Transcript

here. The velocity is going to be the square root of the force divided by the linear density or the mass per unit length. And this would be the square root of 1350 Newtons divided by 5.0 times 10 to the negative third kilograms per meter. And we find that the velocity is gonna be equaling 5.20 times 10 to the second meters per second. So this would be our final answer. That is the end of the solution. Thank you for watching.

Carnegie Mellon University
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