Answer:
c. 0.00288m
Explanation:
We know that
- The steel rod is 15 meters long.
- The temperature changes from 34 °C to 50 °C.
- The coefficient of linear expansion of steel is 12.
The definition of linear expansion is
[tex]\Delta L = \alpha L_{0} \Delta T[/tex]
Where [tex]L_{0} = 15m[/tex] , [tex]\Delta T = 50 - 34 =16 \° C[/tex] and [tex]\alpha = 12[/tex].
Replacing all values, we have
[tex]\Delta L=(12\times 10^{-6}) (15)(16)=2,880 \times 10^{-6}m\\ \Delta L= 0.002880m[/tex]
Therefore, the right answer is c.
The linear thermal expansion of the steel road is 0.00288m
