Q:
# What is the coefficient of area expansion?

**The coefficient of area expansion is a factor that relates change in a material’s external area to temperature.** Materials generally expand as they are heated, causing their overall surface area to increase. The extent of this area increase for each degree on a temperature scale is the area expansion coefficient.

Stricter definitions of area expansion define a pressure for the expansion coefficient because pressure may slightly alter the degree of expansion of a heated material. Expansion coefficients may also be defined at specific temperature ranges because of the nonlinearity of the expansion of materials in certain cases, such as when they undergo phase changes. For linear expansion, the coefficient is a constant value. Nonlinear expansion over a range of temperatures can be defined using a function of temperature, pressure and, in some cases, volume.

To obtain this expression, the infinitesimal change in area that corresponds to an infinitesimal change in volume is defined for the material. The changes in area are experimentally measured or modeled at each temperature, and the values are curve-fitted or numerically integrated to give the total expression. For the coefficient of area expansion to be valid, the material must be isotropic, having the same physical properties in all directions. Otherwise, different directions will have different expansion coefficients.

Learn more about Calculus-
Q:
## How hard is calculus?

A: A person's experience and success in mathematics is largely the defining factor of how hard calculus is. This is because a person must master precalculus t... Full Answer >Filed Under: -
Q:
## How do you find the slope with two points?

A: To find the slope of a line, you need the ratio of the change in y to the change in x. Even if there is no equation, you can still derive the slope by comp... Full Answer >Filed Under: -
Q:
## What is the formula for the average rate of change?

A: Average rate of change refers to the degree to which a quantity increases or decreases in comparison to changes in another quantity. The generic rate of ch... Full Answer >Filed Under: -
Q:
## How do you explain a gradient vector field in calculus?

A: Lamar University explains that a gradient vector field is a directional derivative that represents the change in the gradient of a function. Gradient field... Full Answer >Filed Under: