Consider a wire with a cross-section A and a length L. The Young's modulus is given by: Y = LOF A ƏL T Where F = F(T, L) is the tension in the wire. The linear expansion coefficient is given by: απ 1/ǝL LOT F Give in expression for the change in tension in the wire with temperature in terms of the Young's modulus and the linear expansion coefficient if the wire is kept at a fixed length.

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Consider a wire with a cross-section A and a length L.
The Young's modulus is given by:
Y =
LOF
A ƏL
T
Where F = F(T, L) is the tension in the wire.
The linear expansion coefficient is given by:
απ
1/ǝL
LOT
F
Give in expression for the change in tension in the wire with temperature in terms of the Young's modulus and the linear
expansion coefficient if the wire is kept at a fixed length.
Transcribed Image Text:Consider a wire with a cross-section A and a length L. The Young's modulus is given by: Y = LOF A ƏL T Where F = F(T, L) is the tension in the wire. The linear expansion coefficient is given by: απ 1/ǝL LOT F Give in expression for the change in tension in the wire with temperature in terms of the Young's modulus and the linear expansion coefficient if the wire is kept at a fixed length.
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