Q 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.

Answers (1)
S Sayak

The density of water is \rho _{w}=1000\ kg\ m^{-3}

Depth of the ocean is 3 km

The pressure at the bottom of the ocean would be

\\P=\rho _{w}gh\\ P=1000\times 9.8\times 3\times 1000 \\P=2.94\times 10^{7}Pa

The above value is much lesser than the maximum stress the structure can withstand and therefore it is suitable for putting up on top of an oil well in the ocean.

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