The coefficient of linear expansion of steel is 12 Times 10^-6 (degree C)^-1. A

Question

The coefficient of linear expansion of steel is 12 Times 10^-6 (degree C)^-1. A railroad track is made of single rails of steel 1 km in length. By how many centimeters would these single rails change in length between a cold day at -10 degree C and a hot day at 30 degree C? A building made with a steel structure is 650 m high on a winter day when the temperature is 0 degree F. What is the height (in cm) of the building when it is 100 degree F(The linear expansion coefficient of steel is 11 Times 10^-6 (degree C)^-1

Explanation / Answer

14) increase in length = 1 x 1000 x 12 x 10^-6 x (30 + 10) = 0.48 m

15) Height of building is calculated as

100^o F= 37.77^o C

Increase in height= 650 x 11 x 10^-6 x 37.77=0.27m

therefore total height=650+0.27= 650.27m

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