Question

a bridge is made from 20 m long iron rods.at temperature 18 degree Celsius,the distance between two rods is 0.4 cm.up to what temperature will the bridge be in good shape?

Answer 1

Answer:

Temperature = 35.4 C

Step by step explanation:

It is given that the length of the rods = 20m = 2000 cm, temperature T = 18 C, and the distance between the two rods is 0.4 cm.

It is required to find the maximum temperature at which the bridge is still in a good shape.

The bridge will be in a good shape until the two rods expand by 0.2 cm each as the temperature increases. Therefore, let the total expansion be 0.4 cm (2*0.2 cm)

The formula of linear expansion is:

$\frac{\Delta l}{l}=\alpha_1 \Delta T$; where $\Delta l$ is the expansion in the length, $l$ is the length of the rod, $\alpha_1$ is the linear expansion coefficient of iron ($11.5*10^{-6}\:^oC^{-1}$)

$\frac{0.4}{2000}=11.5*10^{-6}(T-18^oC)\\ \\T-18=\frac{0.4}{2000*11.5*10^{-6}}\\ \\T=18+\frac{0.4}{2000*11.5*10^{-6}}\\ \\T=35.4^oC$

Answer 2

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It is given that the length of the rods = 20m = 2000 cm, temperature T = 18 C, and the distance between the two rods is 0.4 cm.

It is given that the length of the rods = 20m = 2000 cm, temperature T = 18 C, and the distance between the two rods is 0.4 cm.It is required to find the maximum temperature at which the bridge is still in a good shape.

It is given that the length of the rods = 20m = 2000 cm, temperature T = 18 C, and the distance between the two rods is 0.4 cm.It is required to find the maximum temperature at which the bridge is still in a good shape.The bridge will be in a good shape until the two rods expand by 0.2 cm each as the temperature increases. Therefore, let the total expansion be 0.4 cm (2*0.2 cm)

It is given that the length of the rods = 20m = 2000 cm, temperature T = 18 C, and the distance between the two rods is 0.4 cm.It is required to find the maximum temperature at which the bridge is still in a good shape.The bridge will be in a good shape until the two rods expand by 0.2 cm each as the temperature increases. Therefore, let the total expansion be 0.4 cm (2*0.2 cm)The formula of linear expansion is:

It is given that the length of the rods = 20m = 2000 cm, temperature T = 18 C, and the distance between the two rods is 0.4 cm.It is required to find the maximum temperature at which the bridge is still in a good shape.The bridge will be in a good shape until the two rods expand by 0.2 cm each as the temperature increases. Therefore, let the total expansion be 0.4 cm (2*0.2 cm)The formula of linear expansion is: is the linear expansion coefficient of iron (

It is given that the length of the rods = 20m = 2000 cm, temperature T = 18 C, and the distance between the two rods is 0.4 cm.It is required to find the maximum temperature at which the bridge is still in a good shape.The bridge will be in a good shape until the two rods expand by 0.2 cm each as the temperature increases. Therefore, let the total expansion be 0.4 cm (2*0.2 cm)The formula of linear expansion is: is the linear expansion coefficient of iron (\begin{lgathered}\frac{0.4}{2000}=11.5*10^{-6}(T-18^oC)\\ \\T-18=\frac{0.4}{2000*11.5*10^{-6}}\\ \\T=18+\frac{0.4}{2000*11.5*10^{-6}}\\ \\T=35.4^oC\end{lgathered}

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