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
Explanation:
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:
solved
Explanation:
water pressure = ∝gh
max stress to be with stood by the structure = 10^9 Pa
depth of ocean = h = 3x10³
density of water ∝ = 10³ kg/m³
g = 10m/s²
pressure of seawater = ∝gh = 3x10³x10³x10 = 3x10^7 pa
3x10^7 pa is less than 10^9 Pa
the pressure exerted by sea water is less than the pressure thatthe structure can withstand .
therefore
the structure is suitable for putting up on top of an oil well in the ocean