Linear expansion: Can someone check my work?

[Dmitri10]

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?

 

[PhanthomJay]

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)

 

[rl.bhat]

Your answer is right.

 

[Dmitri10]

Awesome! Thank you both.