How Does Temperature Affect the Length of Steel?

In summary, linear expansion of solids is the increase in length of a solid object when it is heated due to increased molecular motion. Factors that affect linear expansion include the material's coefficient of linear expansion, change in temperature, and original length of the object. It can be measured using a ruler or caliper and has practical applications in various industries. Linear expansion differs from other types of expansion in that it only refers to an increase in length and is only affected by changes in temperature.
  • #1
chawki
506
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Homework Statement



A steel balk has a length of 50.485 m at the temperature of 5.0 oC.


Homework Equations



What would be the length of the balk at the temperature of -22 oC, when the coefficient of linear expansion (α ) is 0.000012 / oC?


The Attempt at a Solution


50.469m?
 
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  • #2
let L1 = initial length, and L2 = final length.

then use L2 = L1*(1 + a*T), T = T2 - T1 = - 27 C
 
  • #3
50.468m?
 
  • #4
Looks good.
 
  • #5
yes, 50.468m
 

FAQ: How Does Temperature Affect the Length of Steel?

1. What is linear expansion of solids?

Linear expansion of solids refers to the increase in length of a solid object when it is heated. This is due to the increase in molecular motion, causing the particles to move farther apart and the object to expand.

2. What factors affect linear expansion of solids?

The linear expansion of solids is affected by the material's coefficient of linear expansion, the change in temperature, and the original length of the object. Different materials have different coefficients of linear expansion, and longer objects will expand more than shorter ones.

3. How is linear expansion of solids measured?

The linear expansion of solids can be measured by using a ruler or caliper to measure the change in length of the object before and after it is heated. This change in length can then be used to calculate the coefficient of linear expansion.

4. What are the practical applications of linear expansion of solids?

Linear expansion of solids is used in the creation of devices such as thermostats, bimetallic thermometers, and expansion joints in bridges and buildings. It is also important in industries such as construction, aerospace, and engineering.

5. How does linear expansion of solids differ from other types of expansion?

Linear expansion refers specifically to the increase in length of an object, while other types of expansion, such as volumetric expansion, refer to the increase in size of an object in all three dimensions. Additionally, linear expansion is only affected by changes in temperature, while other types of expansion can also be affected by changes in pressure or other factors.

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