An aluminum wire is held between two clamps under zero tension at room temperature. reducing the temperature, which results in a decrease in the wire's equilibrium length, increases the tension in the wire. taking the cross-sectional area of the wire to be 5.75 10-6 m2, the density to be 2.70 103 kg/m3, and young's modulus to be 7.00 1010 n/m2, what strain (δl/l) results in a transverse wave speed of 118 m/s

Explanation:

Given:

We have mathematical expression for strain as:

...............................(1)

and since,

where, T = tension force in the wire

equation (1) becomes:

............................(2)

Also velocity ofwave in tensed wire:

...................................(3)

where: linear mass density of the wire

Now, equation (3) becomes

............................(4)

Using eq. (2) & (4) for tension T

putting the respective values

a.

explanation:

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