How Does Temperature Affect the Length of Steel?

AI Thread Summary
The discussion focuses on calculating the change in length of a steel balk due to temperature variation. At 5.0 °C, the balk measures 50.485 m, and the coefficient of linear expansion is given as 0.000012 / °C. The calculation involves determining the final length at -22 °C using the formula L2 = L1*(1 + α*T), where T is the temperature change. The final length is calculated to be approximately 50.468 m. This demonstrates how temperature affects the physical dimensions of steel through linear expansion.
chawki
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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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