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Question: the main span of a bridge is 1275m long at its coldest. The bridge is exposed to temperatures ranging from 15 degrees celsius to 40 degrees celsius. What is its change in length between these temperatures? Assume that the bridge is made entirely out of steel. The linear expension of steel is 12*10^-6 per degrees Celsius
The formula to calculate the linear expansion of a material is: ΔL = L₀αΔT where: ΔL is the change in length, L₀ is the original length, α is the linear expansion coefficient, and ΔT is the change in temperature. Plugging in the given values: L₀ = 1275 m, α = 12*10^-6 per degree Celsius, and ΔT = 40°C - 15°C = 25°C. we get: ΔL = 1275 m * 12*10^-6/°C * 25°C = 0.3825 m. Therefore, the change in length of the bridge between these temperatures is 0.3825 meters.
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