A string with a linear density of 10 kg/m is stretched to a length of 1.1 meters and fastened at both end so that it can freely vibrate. The tension on the string is 2000 Newtons. At what speed would a wave propagate on this string

University Physics Volume 1
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Chapter16: Waves
Section: Chapter Questions
Problem 109P: A string with a linear mass density of 0.0062 kg/m and a length of 3.00 m is set into the n=4 mode...
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A string with a linear density of 10 kg/m is stretched to a length of 1.1 meters and fastened at both end so that it can freely vibrate. The tension on the string is 2000 Newtons.
At what speed would a wave propagate on this string?

Expert Solution
Step 1

The tension on the string is 2000 N, the linear mass density of the string is 10 kg/m.

The expression for the speed of the wave propagates on the string is,

v=Tμ            (I)                        T=tension,μ=mass per unit length=linear mass density

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