A vertical off-shore structure is built to wi | vedclass

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(A) The maximum allowable stress for the structure is $P_{max} = 10^9 \; Pa$. The depth of the ocean is $d = 3 \; km = 3 	imes 10^3 \; m$. The densit

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(A) The maximum allowable stress for the structure is $P_{max} = 10^9 \; Pa$. The depth of the ocean is $d = 3 \; km = 3 	imes 10^3 \; m$. The density of seawater is $ho \approx 10^3 \; kg/m^3$. The acceleration due to gravity is $g = 9.8 \; m/s^2$. The pressure exerted by the seawater at depth $d$ is given by $P = ho g d$. Substituting the values: $P = (10^3 \; kg/m^3) 	imes (9.8 \; m/s^2) 	imes (3 	imes 10^3 \; m) = 2.94 	imes 10^7 \; Pa$. Since the maximum allowable stress of the structure $(10^9 \; Pa)$ is significantly greater than the pressure exerted by the ocean $(2.94 	imes 10^7 \; Pa)$,the structure is suitable for use.

$A$ 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.

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