Question

The worlds longest suspension bridge is the Akashi Kaikyo Bridge in Japan. The bridge is 3910 m long and is constructed of steel. How much longer is the bridge on a warm summer day (30.0 °C) than on a cold winter day (-5.00 °C)?

Answer 1

Answer:1.642 m

Step-by-step explanation:

Given

Initial Length of bridge $L_0=3910 m$

temperature on cold day $t_1=-5^{\circ}C$

temperature on hot day $t_2=30^{\circ}C$

Change in temperature is $\Delta T=30-(-5)=35^{\circ}C$

Coefficient of linear expansion of steel $\alpha =12\times 10^{-6}/^{\circ}C$

and length after change in temperature is given by

$L=L_0(1+\alpha \cdot \Delta T)$

$\Delta =L_0\cdot \alpha \Delta T$

$\Delta L=3910\cdot 12\times 10^{-6}\cdot 35$

$\Delta L=1.642 m$