Q10 of 64 Page 12

A concrete slab has a length of 10 m on a winter night when the temperature is 0°C. Find the length of the slab on a summer day when the temperature is 35°C. The coefficient of linear expansion of concrete is 1.0×10-5°C-1


Explanation:


Given


The length of the lab at 0° C, L0, is 10m


Change in temperature of slab from 0°C, θ is 35


Coefficient of linear expansion,


Formula used


The relation between the ength of the road at any other temperature can be written as,



Where


L0= Length at a reference temperature= 10m


α= coefficient of linear expansion= 1.0×10-5°C-1


θ= Change in temperature= 35



Or


(Ans.)


So, the length of the slab at 35°C is 10.0035m


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