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To solve the problems below, you will need to know the average coefficient of linear expan...

To solve the problems below, you will need to know the average coefficient of linear expansion, a, which differs for different materials. We define L to be the length of the object, and a to be the fractional change per unit length for a temperature change of 1°C. For aluminum, α = 24 × 10-6C, and for steel, a = 11 × 10-6C. The change in length ΔL of a material is given by ΔL = LαΔT. Consider a bar 1 m long that expands 0.6 cm when heated. Show that, when similarly heated, a 100-m bar of the same material becomes 100.6 m long.

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