Q4 of 15 Page 103

Solve the following examples.

At 15 °C the height of Eifel tower is 324 m. If it is made of iron, what will be the increase in length in cm, at 30 °C?

Given data:


Height of tower = 324 m


Initial temperature = 15 °C


Final temperature = 30 °C


Expression to calculate the increase in length during thermal expansion is as follows.



= increase in length


= increase in length


= coeffiocient of linear expansion of iron. Its value is 11.5 × 10-6°C.


= increase in temperature


Substitute the given values and value of .


324 m)(11.5×10-6 °C)( 30 ° -15 °C)


= 0.056 m


= 0.056 m


= 5.6 cm


Increase in length of tower at 30 °C is 5.6 cm.


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