How Does Temperature Affect the Length of Steel?

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Homework Help Overview

The discussion revolves around the effect of temperature on the length of a steel balk, specifically examining how a change in temperature influences its dimensions through the concept of linear expansion.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of the linear expansion formula, with one participant attempting to calculate the final length based on a temperature change. Others provide their own calculations and confirm the results.

Discussion Status

The discussion is active, with participants sharing their calculations and affirming each other's results. There is a general agreement on the approach taken, though no formal consensus on the final answer has been established.

Contextual Notes

The problem involves specific values for initial length, temperature change, and the coefficient of linear expansion, which are critical for the calculations being discussed.

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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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let L1 = initial length, and L2 = final length.

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

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