Question on: SS1 Physics - Heat and Thermodynamics

A steel rod measures 2 metres at 20°C. If the coefficient of linear expansion for steel is 12 x 10-6 /°C, what will be the length of the rod when the temperature rises to 50°C?

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Change in length = (coefficient of linear expansion) x (original length) x (change in temperature)

   Change in length = (12 x 10-6 /°C) x (2 metres) x (50°C - 20°C)

   Change in length = 12 x 10-6 x 2 x 30

   Change in length = 7.2 x 10-4 metres

 

   Length of the rod at 50°C = original length + change in length

   Length of the rod at 50°C = 2 metres + 7.2 x 10-4 metres

   Length of the rod at 50°C = 2.00072 metres

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