A violin string has a wave speed of 62 m/s when it isplayed. If the string is 0.60 m long and has a tensionof 200.0 N, what is the mass of the string?

Question

A violin string has a wave speed of 62 m/s when it isplayed. If the string is 0.60 m long and has a tensionof 200.0 N, what is the mass of the string?
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Solution 1

To find the mass of the string, we first need to find the linear density (mass per unit length) of the string. The wave speed v on a string under tension T with a linear density μ is given by the formula:

v = sqrt(T/μ)

We can rearrange this formula to solve for μ:

μ = T/v²

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