In this problem, please make sure to use the density of seawater = 1025 kg/m3. T

Question

In this problem, please make sure to use the density of seawater = 1025 kg/m3.

The bottom of the Mariana Trench, located in the Pacific Ocean, is about 11,000 m below the ocean's surface, making it the deepest ocean depth on Earth. If an underwater vehicle were exploring the region, at a depth of 10900 m,

a.) What is the total hydrostatic pressure at this depth?

1.10e8 Pa (CORRECT)

The gauge pressure makes up what percentage of this value?

99 % (CORRECT)

b.) What is the net force experienced by the vehicle's circular observation window, which has a radius of 0.3 m?

_______ N

(The air inside the vehicle is about Patm. Is this important to consider?)

c.) The mass of a jetliner is about 1.2·105 kg. Please fill in the following relationship:

The force on the window is as much as the weight of _____________ jetliners

Explanation / Answer

b.)Force = pressure * Area

F = (rho*g*h +P - P)* pi*r^2

F = (1025*9.8*10900)*pi*0.3^2

F = 3.0*10^7 N

no it is importent to cosider the inner pressure of vehicle because the atmospheric pressure is at both side inside or outside.

c.)in terms of jetliner weight = F /mg = 3.0*10^7 / (1.2*10^5 * 9.8)

= 26.32 jetliner weight

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