AREA EXPANSIVITY B IS RELATED TO LINEAR EXPANSIVITY A BY
To determine the relationship between area expansivity (B) and linear expansivity (A), we need to understand their definitions and how they are related mathematically.
Linear expansivity (A) refers to the increase in length per unit length of an object when the temperature is increased by one degree Celsius or Kelvin. It is denoted by the equation:
A = ΔL / (L * ΔT)
Where:
A = Linear expansivity
ΔL = Change in length
L = Original length
ΔT = Change in temperature
On the other hand, area expansivity (B) is a measure of how the area of an object changes with respect to temperature. It relates to linear expansivity because the change in area is a result of changes in both the length and width (two linear dimensions) of the object.
The relationship between area expansivity (B) and linear expansivity (A) can be mathematically expressed as follows:
B = 2A
This equation holds when the shape of the object remains constant. It implies that the area expansivity (B) is twice the linear expansivity (A) because it takes into account changes in both dimensions (length and width).
In summary, the relationship between area expansivity (B) and linear expansivity (A) is that B = 2A, where B represents the change in area with temperature and A represents the change in length with temperature.