10.7 A vertical off-shore structure is built to withstand a maximum stress of 109 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.
Given,
Maximum stress = 109 Pa
h = 3 km = 3 x 103 m
= 103 kg/m3
g = 9.8 m/s2.
The structure will be suitable for putting up on top of an oil well provided the pressure exerted by seawater is less than the maximum stress it can bear.
Pressure due to sea water, P = hρg = 3 x 103 x 103x 9.8 = 2.94 x 107 Pa.
The pressure exerted by the ocean is less than the pressure that the structure can withstand. So, the structure suitable for putting up on top of an oil well in the ocean.
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