Question #cdd3a

1 Answer
Feb 20, 2016

I found #11.55cm#

Explanation:

We need to consider thermal linear expansion.
In this case I would try to find the coefficient of linear expansion of iron (from literature):
http://dev.physicslab.org/PracticeProblems/Worksheets/APB/Heat/thermalexpansion.aspx
Then we can say that the change in length #Deltal# will be related to the original length #l_0#, the coefficient #alpha# and the change in temperature #DeltaT# as:

#Deltal=alphal_0DeltaT#
or with our data:
#Deltal=11.7xx10^-6*300*(-4-31)=-0.1155m#
]Cooling the tower it shrinks of #0.1155m=11.55cm#