Bulk Modulus of unknown material

AI Thread Summary
To calculate the Bulk Modulus of the unknown material, the speed of sound in the wire, which equals the speed of transverse waves, is essential. The tension from the 1000 kg mass affects the wave speed and can be related to the wire's linear density. Although the mass of the wire is unknown, the density can be derived from the wire's dimensions and the tension in the string. Understanding these relationships allows for the calculation of the Bulk Modulus using the provided equations. Proper guidance on these concepts helps clarify the problem-solving process.
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Homework Statement


A extremely strong wire of exotic material has a radius of 0.1 mm and a length of 5 m. A 1000 kg
mass is hung vertically from the wire. The speed of sound in the wire is observed to be the same as
the speed of a transverse wave on the wire. What is the Bulk Modulus of the material? (in N/m2
)

Homework Equations


Speed of Sound in solid: v=√(B/ρ)
B=-ΔP/(ΔV/V)

The Attempt at a Solution


I honestly don't know where to start. All the examples in my text give a change in volume or pressure, which would be simply using Equation 2. I'm assuming you find the density of the wire somehow, but I don't have the mass of the wire. Any guidance would help!
 
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You have the tension in the string (assuming this experiment was done on earth), this is related to speed of transversal waves via the (line) density of the material.
 
mfb said:
You have the tension in the string (assuming this experiment was done on earth), this is related to speed of transversal waves via the (line) density of the material.

OHHH. I SEE. I get it now! Thank you!
 
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