The rectangular plate shown in Figure P19 55 has an area Ai equal to If the temperature increases by T, each dimension increases according to the equation L aLi T, where is the average coefficient of linear expansion Show that the increase in area is A 2aAi T What approximation does this expression assume

Question: The rectangular plate shown in Figure P19.55 has an area Ai equal to If the temperature increases by T, each dimension increases according to the

The rectangular plate shown in Figure P19.55 has an area Ai equal to If the temperature increases by ΔT, each dimension increases according to the equation ΔL = aLi ΔT, where & is the average coefficient of linear expansion. Show that the increase in area is ΔA = 2aAi ΔT. What approximation does this expression assume?

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