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...

From the diagram we see that the change in area is w Since Al a ...

The rectangular plate shown in Figure P19.55 has an area Ai equal to If the temperature increases

Question:

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?