What is the tension in an aluminum wire with a given radius and wave speed?

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To find the tension in an aluminum wire with a radius of 0.001 m and a wave speed of 120 m/s, the relevant equation is v = √(Fu/μ), where Fu is the tension and μ is the mass per unit length. The mass per unit length can be calculated using the density of aluminum (2.7 x 10^3 kg/m³) and the cross-sectional area of the wire. The discussion highlights confusion regarding how to derive mass from density and radius, emphasizing the need for clarity on calculating mass in this context. Understanding these relationships is crucial for solving the problem effectively. The conversation centers on the application of physics principles to determine the wire's tension.
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Homework Statement


The wave speed in an aluminum wire with a radius of .001m is 120 m/s. What is the tension in the wire? The density of the aluminium is 2.7 X103 kg/m3


Homework Equations



v=√Fu/μ
v1/v2=D2/D1

The Attempt at a Solution



How do you find the mass using density and radius??...
 
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freeofwork said:
How do you find the mass using density and radius??...

The mass of what?

ehild
 

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