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Copper Bar

Determine the linear temperature coefficient of expansion for copper?

given that a copper bar of length 2000 mm expands by 15 mm when heated from
20 °C to 450 °C.

Working formula is

L = Lo(1 + A*delta T)

where

L = length of the material at any given temperature
Lo = original length = 2000 mm (given)
A = coefficient of linear expansion
delta T = 450 - 20 = 430 C

Substituting values,

2000 + 15 = 2000(1 + A*430)

1.0075 = 1 + 430A

Solving for "A"

A = 0.0075/430

A = 1.74 x 10^-5

Hope this helps.