Total pressure of water against submarine

In summary, the total pressure against the porthole of a submarine at a depth of 35 m is 4.4986 bar, calculated using the equation Ptotal=P0+P where P0 is the air pressure at 1 bar and P is the pressure due to the density of seawater at 1020 kg/m3 and the depth of 35 m.
  • #1
chawki
506
0

Homework Statement


What is the total pressure (absolute pressure) against the porthole of a submarine, when the
submarine is at a 35 m depth, and the density of the seawater is 1020 kg/m3. Air pressure is 1
bar and 1 bar = 1×105 Pa. Give the result using unit bar.

Homework Equations


Total Pressure


The Attempt at a Solution


PV=nRT ?
 
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  • #2


chawki said:

The Attempt at a Solution


PV=nRT ?

That is for gases.

What is the equation for the pressure given at a certain depth in a fluid? (Hint: The question has most of the relevant quantities that you need in this question)
 
  • #3


I don't know the equation, and couldn't get anything from the question..except the difference of pressure.
 
  • #4


ah yesyes...maybe P=density*g*height
 
  • #5


chawki said:
ah yesyes...maybe P=density*g*height

Right that gives the pressure at the depth 'h'. So at depth 'h', you have that pressure acting in addition to what other pressure?
 
  • #6


I think the Total pressure would be:
Ptotal=P0+P
Ptotal=105+(1020*9.8*35)
Ptotal=449860 Pa
and that's 4.4986 Bar
 
  • #7


That should be correct.
 
  • #8


Thank you :biggrin:
 

1. What is the total pressure of water against a submarine?

The total pressure of water against a submarine is the combined force exerted by the weight of the water and the hydrostatic pressure, or the pressure exerted by the depth of the water. This pressure increases with depth, so the deeper the submarine goes, the greater the total pressure.

2. How is the total pressure of water calculated against a submarine?

The total pressure of water against a submarine can be calculated using the formula P = ρgh, where P is the total pressure, ρ is the density of water, g is the acceleration due to gravity, and h is the depth of the submarine. This formula takes into account the weight of the water and the hydrostatic pressure.

3. What factors affect the total pressure of water against a submarine?

The total pressure of water against a submarine is affected by the depth of the submarine, the density of the water, and the acceleration due to gravity. Other factors that can impact the pressure include the shape and size of the submarine, as well as any external forces, such as ocean currents or waves.

4. How does the total pressure of water affect a submarine?

The total pressure of water against a submarine can have a significant impact on its ability to function. As the pressure increases with depth, submarines must be built to withstand these pressures in order to avoid structural damage. Additionally, the total pressure can affect the buoyancy and stability of the submarine, making it more difficult to control and maneuver.

5. Can the total pressure of water against a submarine be dangerous for the crew?

Yes, the total pressure of water against a submarine can be dangerous for the crew if proper precautions are not taken. As the submarine descends to greater depths, the pressure increases and can cause harm to the crew if not properly protected. Submarines are designed to withstand these pressures and have safety measures in place to protect the crew, such as reinforced hulls and pressure-resistant compartments.

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