Aluminum has a coefficient of linear expansion of 2.4x10^-5 C^-1 and a coefficient of volume expansion of 7.2x10^-5 C^-1. An aluminum wire at 20 degrees C has a length of 10 m and a cross-sectional area of 1 cm^2. It is then heated to 100 degrees C. What is the new length of the wire?

Question

Physics

Sheldon Barker

19 July, 15:52

Aluminum has a coefficient of linear expansion of 2.4x10^-5 C^-1 and a coefficient of volume expansion of 7.2x10^-5 C^-1. An aluminum wire at 20 degrees C has a length of 10 m and a cross-sectional area of 1 cm^2. It is then heated to 100 degrees C. What is the new length of the wire?

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Answers (1)

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Heaven Buck · Answer 1

New length = 10.2 m

Explanation:

Let ΔL = change in length

ΔT = change in the temperature

L (0) = intial length

α = coeffient of linear expansion

Then

ΔL = αL (0) ΔT

= (2.4*10^-5) (10) (100-20)

=0.0192 m

New length = L (0) + ΔL

= 10 + 0.0192

= 10.2 m