Calculating the Area of a Copper Plate with Linear Expansion

In summary, linear expansion, also known as thermal expansion, is the tendency of a material to change its shape and size when exposed to changes in temperature. It is caused by the movement and vibration of atoms and molecules within a material when it is heated, and is typically measured using a coefficient of thermal expansion (CTE). Linear expansion has real-world applications in engineering and construction, as well as in the manufacturing of various products. It can be minimized or controlled by using materials with low CTE values, designing compensating structures, or pre-stressing materials.
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bpollard
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Homework Statement


The area of a copper plate is 0.1m^2. The coefficient of linear expansion (would be given in the problem). if the temperature increases from 22C to 100C, what is the new area of the copepr plate?


Homework Equations


L= LTá : but as alfa is linear Expansion coff


The Attempt at a Solution



I'm stuck...
 
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  • #2
If the plate has sides a and b such that a b = 0.1m^2. Upon heating, it would expand to:
[itex](\alpha \Delta T a) (\alpha \Delta T b)[/itex].
 

What is linear expansion?

Linear expansion, also known as thermal expansion, is the tendency of a material to change its shape and size when exposed to changes in temperature.

What causes linear expansion?

Linear expansion is caused by the movement and vibration of atoms and molecules within a material when it is heated. This movement causes the material to expand and increase in size.

How is linear expansion measured?

Linear expansion is typically measured using a coefficient of thermal expansion (CTE), which represents the amount of change in length per unit length of a material for every degree of temperature change. CTE is usually expressed in units of 1/°C or 1/°F.

What are some real-world applications of linear expansion?

Linear expansion is an important concept in engineering and construction, where it is used to design and build structures that can withstand changes in temperature without breaking or deforming. It is also used in the manufacturing of various products, such as thermometers, bi-metallic strips, and railway tracks.

How can linear expansion be minimized or controlled?

To minimize or control linear expansion, materials with low CTE values can be used, or materials can be designed with compensating structures that counteract the effects of expansion. In some cases, materials can also be pre-stressed to counteract the expansion before it occurs.

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