How Does Temperature Affect the Length of Steel?

[chawki]

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?

 

[supratim1]

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

then use L2 = L1*(1 + a*T), T = T2 - T1 = - 27 C

 

[chawki]

50.468m?

 

[gneill]

Looks good.

 

[supratim1]

yes, 50.468m