A steel bridge is 1000 m long at -20°C in winter.What is the change in length when the temperature rises to 40°C in summer? The average coefficient of linear expansion of this steel is 11 × 10^-6 K^-1.

Question

Quizplus · Accepted Answer

The change in length ($\Delta L$) of the bridge due to thermal expansion can be calculated using the formula $\Delta L = L_0 \alpha \Delta T$, where $L_0$ is the original length (1000 m), $\alpha$ is the coefficient of linear expansion (11 × 10^-6 K^-1), and $\Delta T$ is the change in temperature (40°C - (-20°C) = 60°C). Substituting the values, we get $\Delta L = 1000 m \times 11 \times 10^{-6} K^{-1} \times 60 K = 0.66 m$.

A Steel Bridge Is 1000 M Long at -20°C in Winter.What