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A corroded metal gusset plate was found on a bridge. It was estimated that the original area of the plate was 750 cm2 and that approximately 2.5 kg had corroded away during use. Assuming a corrosion penetration rate of 0.5 mm/year for this metal, estimate the time since construction of the bridge. The density of the alloy is 10 g/cm3 .

Respuesta :

Answer:

estimate the time since construction of the bridge is 6.66 year

Explanation:

given data

area of the plate =  750 cm²

corroded away during use = 2.5 kg  

corrosion penetration rate = 0.5 mm/year

density of the alloy = 10 g/cm³

solution

we know here area is express as

CPR = [tex]\frac{kw}{\rho A t}[/tex]       ................1

put here value ans we get t

t = [tex]\frac{87.6\times 2.5 \times 10^6}{10\times 750 \times 0.5}[/tex]                  

t = 58400  hour

time = 6.66 year

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