Thermal Expansion

Over small temperature ranges, the linear nature of thermal expansion leads to expansion relationships for length, area, and volume in terms of the linear expansion coefficient .

Linear Expansion

The relationship governing the linear expansion of a long thin rod can be reasoned out as follows:

Linear Expansion

Over small temperature ranges, the fractional thermal expansion of uniform linear objects is proportional the the temperature change. This fact can be used to construct thermometers based on the expansion of a thin tube of mercury or alcohol. Several equivalent forms of the relationship find use. The calculation is set up in the form

Common forms 常见形式

A length change ΔL = m will occur for an object of original length L0 = m and expansion coefficient = x10^ /C. Original temperature = C = F Final temperature = C = F Note: This calculation is set up with default values corresponding to heating a 10 meter bar of steel by 20 °C. Any of the values may be changed. The final calculation is done by clicking on the quantity you wish to calculate in the active expression above. 当一个原长为 L 0 = m 的物体温度从 C = F 升高到 C = F 时，其长度变化 ΔL = m，其中膨胀系数为 x10^ /C。注意：此计算设置为默认值，对应将一根10米长的钢棒加热20 °C 的情况。任何值均可更改。通过点击上方活动表达式中希望计算的量进行最终计算。 中文译文中的待填/计算数值依次对应：1：dl 2：l 3：ab 4：ap 5：ti 6：tif 7：tf 8：tff。实际数值以上方原输入框为准。

Expansion Concepts