Answer to Question #277376 in Physics for Tabassum

Question #277376

How much will a 1-km steel bridge expand due to a 10 K temperature change? 



1.2 m


12 cm


12 m


6 cm


1
Expert's answer
2021-12-09T09:14:47-0500

We can find the increase in the length of a steel bridge as follows:


ΔL=αLΔT,\Delta L = \alpha L\Delta T,ΔL=12×106 K1×1000 m×10 K=0.12 m=12 cm.\Delta L = 12\times10^{-6}\ K^{-1}\times1000\ m\times10\ K=0.12\ m=12\ cm.

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