Linear expansion: Can someone check my work?

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A steel tower measuring 300 m tall at 22 degrees C expands when the temperature rises to 40 degrees C. Using the coefficient of linear expansion for steel, which is 11 x 10^-6/degree C, the change in length is calculated with the formula (change in L) = L * α * (change in T). The calculation shows that the tower becomes approximately 0.0594 m taller, or about 6 cm. The initial assessment of the height increase is confirmed as correct. This demonstrates the impact of temperature on the dimensions of materials like steel.
Dmitri10
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If a steel tower stands 300 m tall on an average day, 22 degrees C, how much taller is it on a hot day, 40 degrees C?

The coefficient of linear expansion for steel is 11 (10)^-6/degree C.

The equation for change in length of a material is (change in L) = L * α * (change in T)

I know what α is, and I know what (change in T) is. I think that L is equal to 300.

300 m * 11 (10)^-6/degree C * 18 degrees C = 0.0594 m

So the tower is 0.0594 meter taller?
 
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Dmitri10 said:
If a steel tower stands 300 m tall on an average day, 22 degrees C, how much taller is it on a hot day, 40 degrees C?

The coefficient of linear expansion for steel is 11 (10)^-6/degree C.

The equation for change in length of a material is (change in L) = L * α * (change in T)

I know what α is, and I know what (change in T) is. I think that L is equal to 300.

300 m * 11 (10)^-6/degree C * 18 degrees C = 0.0594 m

So the tower is 0.0594 meter taller?
Yes (call it 6 cm):smile:
 
Your answer is right.
 
Awesome! Thank you both.
 

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