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.
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.
Answer: Yes
The maximum allowable
stress for the structure, P = 109 Pa
Depth of the ocean, d
= 3 km = 3 × 103 m
Density of water, ρ
= 103 kg/m3
Acceleration due to
gravity, g = 9.8 m/s2
The pressure exerted
because of the sea water at depth, d = ρdg
=
3 × 103 × 103 × 9.8
=
2.94 × 107 Pa
The maximum allowable
stress for the structure (109 Pa) is greater than the
pressure of the sea water (2.94 × 107 Pa). The
pressure exerted by the ocean is less than the pressure that the
structure can withstand. Hence, the structure is suitable for putting
up on top of an oil well in the ocean.
Answer: Yes
The maximum allowable stress for the structure, P = 109 Pa
Depth of the ocean, d = 3 km = 3 × 103 m
Density of water, ρ = 103 kg/m3
Acceleration due to gravity, g = 9.8 m/s2
The pressure exerted because of the sea water at depth, d = ρdg
= 3 × 103 × 103 × 9.8
= 2.94 × 107 Pa
The maximum allowable stress for the structure (109 Pa) is greater than the pressure of the sea water (2.94 × 107 Pa). The pressure exerted by the ocean is less than the pressure that the structure can withstand. Hence, the structure is suitable for putting up on top of an oil well in the ocean.
