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A vertical off-shore structure is built ...

A vertical off-shore structure is built to withstand a maximum stress of `10^9` Pa. Is the structure suitable for putting up on top of an oil well in the ocean ? Take the depth of the ocean to be roughly 3 km, and ignore ocean currents.

Text Solution

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We are given:
Depth of ocean, h= 3 km = 3000 m
Density of water, `rho=1000kgm^(-3),g=9.8ms^(-2)`
We are to calculate: pressure, P
Using relation: pressure, `P=hrhog=3000xx1000xx9.8=2.94xx10^(7)Pa`.
This value of pressure is less than the stress of `10^(9)` Pa which the structure can withstand. Therefore, the structure may be suitable for putting on the top of oil well in the ocean.
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