There are several ways to model a compound. One type of model is shown.
2 answers:
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By using the coefficient of linear expansion, the increase in the length of the metal plate is by 0.015m and in the area is by 0.3074.
The rate of change in length of a metal per degree change in temperature is known as the coefficient of linear expansion.
Given:
Coefficient of linear expansion, α = 29 x /k
Length, L1 = 10m
T1 = 25℃
T2 = 78℃
ΔT = 78 – 25 = 53℃
To find:
Change in length (ΔL) and area (ΔA) of metal plate = ?
Formula:
ΔL = α L1 ΔT
ΔA = A1 2 α ΔT
Calculations:
ΔL = 29 x x 10 x 53
ΔL = 0.01537m
ΔA = 100 x 2 x 29 x x 53
ΔA = 0.3074
A2 = 100.3074
Result:
The increase in the length and area is by 0.015m and 0.3074 respectively.
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