A rail way 50m long, with initial temperature of 20degree celsius subjected to a great heat. How much will it expand which its temperature is tripled?
To determine the expansion of the railway when its temperature is tripled, we need to use the coefficient of linear expansion of the material the railway is made of. Different materials have different coefficients of linear expansion, which describe how much they expand or contract with a change in temperature.
However, since the material of the railway is not provided, we cannot calculate the exact expansion. Instead, I can explain how you can calculate it once you have the coefficient of linear expansion for the specific material.
The formula to calculate the linear expansion is:
ΔL = α * L * ΔT
Where:
ΔL is the change in length (expansion or contraction)
α is the coefficient of linear expansion of the material
L is the initial length of the railway
ΔT is the change in temperature
First, convert the initial length of the railway from meters to centimeters for consistency. Since 1 meter = 100 centimeters, the initial length (L) is 50m * 100cm/m = 5000cm.
Next, determine the coefficient of linear expansion (α) for the material the railway is made of. This information can typically be found in material engineering references or technical specifications.
Finally, calculate the change in length (ΔL) when the temperature is tripled by finding ΔT and plugging it into the formula. ΔT is the difference between the final temperature and the initial temperature. In this case, the initial temperature is 20 degrees Celsius, and when tripled, it becomes 20 * 3 = 60 degrees Celsius.
Once you have α and ΔT, you can calculate the expansion (ΔL) using the formula:
ΔL = α * L * ΔT
Please note that without knowing the specific material of the railway, it is not possible to provide an exact value for the expansion.