Question

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 .

Answer 1

estimate the time since construction of the bridge is 6.66 year

Step-by-step 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 =
`(kw)/(\rho A t)` ................1

put here value ans we get t

t =
`(87.6* 2.5 * 10^6)/(10* 750 * 0.5)`

t = 58400 hour

time = 6.66 year