(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A rubber string when unstretched has length L_{0}and mass per unit length μ_{0}. It is clamped by its ends and stretched by ΔL. The tension is T=κΔL / L_{0}.

Show that the wave speed on the rubber string when stretched by ΔL is

1/L_{0}√( (κ/μ_{0}) ΔL(L_{0}+ΔL) )

2. Relevant equations

c = √(T/μ)

δ^{2}y/δx^{2}= 1/c^{2}δ^{2}y/δt^{2}

3. The attempt at a solution

Using the formula c = √(T/μ) and putting in T I get:

c = √( κΔL/L_{0}μ_{0})

but I am not sure how to arrive at the answer or whether this is correct?

Many thanks.

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# Wave speed of a stretched string

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