Linear thermal expansion of steel

In summary, a steel plug with a diameter of 10.0 cm at 30 degrees celsius will have a diameter of 9.986 cm at a temperature to be determined. For a steel measuring tape that is 50,000 m long at 20 degrees celsius, its length will be 50,708 m at 35 degrees celsius. If used at 35 degrees celsius, the reading on the tape will be 35.794 m, but the actual distance measured would be 35.977 m. These results can be explained by the linear thermal expansion of steel and its coefficient of linear expansion.
  • #1
honeybeau
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1. a steel plug has a diameter of 10.0 cm at 30 degrees celsius. at what temperature will the diameter be 9.986 cm?
2. a steel measuring tape is exactly 50,000 m long at 20 degrees celsius . (a) what is the length on hot summer when the temperature is 35 degrees celsius? (b) if such steel tape is used to measure a distance at 35 degrees celsius, the reading from the tape is 35.794 m. what is the actual distance?

please help me.
 
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  • #2

1. What is linear thermal expansion of steel?

The linear thermal expansion of steel refers to the increase in length of a steel material when it is exposed to heat. This is due to the individual atoms in the steel vibrating at a faster rate, causing them to take up more space and expand the material.

2. Why does steel expand when heated?

Steel expands when heated because of the way its atomic structure responds to an increase in temperature. As the temperature rises, the atoms in the steel gain more energy and begin to vibrate faster, causing them to take up more space and expand the material.

3. How does the coefficient of thermal expansion affect steel?

The coefficient of thermal expansion is a measure of how much a material expands or contracts when exposed to a change in temperature. For steel, the higher the coefficient of thermal expansion, the more it will expand when heated. This can have implications for the design and use of steel in different applications.

4. Can the linear thermal expansion of steel be predicted?

Yes, the linear thermal expansion of steel can be predicted using the coefficient of thermal expansion, the initial length of the material, and the change in temperature. This can be calculated using the formula: ΔL = αLΔT, where ΔL is the change in length, α is the coefficient of thermal expansion, L is the initial length, and ΔT is the change in temperature.

5. How does the linear thermal expansion of steel impact its use in construction?

The linear thermal expansion of steel can have significant impacts on its use in construction. For example, if steel is used in a structure that is exposed to extreme temperatures, it may expand and contract significantly, leading to structural damage. Therefore, it is important for engineers and architects to consider the effects of thermal expansion when designing with steel.

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