A bridge made of steel is 600m long. What is the daily variation in its length if the night-time and daytime temperatures are 10oC and 35oC respectively. Th...
Question 1 Report
A bridge made of steel is 600m long. What is the daily variation in its length if the night-time and daytime temperatures are 10oC and 35oC respectively. The linear expansivity of steel is 0.000012C-1
Answer Details
The variation in the length of the steel bridge can be calculated using the formula: ΔL = LαΔT where ΔL is the variation in length, L is the original length of the bridge, α is the linear expansivity of steel, and ΔT is the difference in temperature. In this case, the bridge is 600m long, the linear expansivity of steel is 0.000012C^-1, and the difference in temperature between night and day is 25°C (35°C - 10°C). Substituting these values into the formula: ΔL = (600m)(0.000012C^-1)(25°C) = 0.18m Therefore, the daily variation in the length of the steel bridge is 0.18m or 18cm. So the correct option is 0.18cm.
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