Solve Pressure Problem: Upward Force for Ocean Hatch

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In summary, the conversation discusses the calculation of the upward force needed to open a hatch at a depth of 30 meters below the surface of the ocean, assuming a submersible with internal pressure of 1 atmosphere and a hatch area of 0.75 m2. The formula used includes the atmospheric pressure on the surface of the ocean and the density of sea water, and the final approach is deemed correct.
  • #1
tommyhakinen
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Homework Statement


A submersible with internal pressure of 1 atmosphere is at a depth of 30 meter below the surface of the ocean. At this depth, what is the upward force required to open a hatch of area 0.75 m2. Assume density of sea water is 1030 kg/m3.

Homework Equations


P = Patm + ρgh
F = P*A

The Attempt at a Solution


Do I have to add the atmospheric pressure on the surface of the ocean? I have this equation : Patm + ρgh = Pinternal + P2
then F = P2 * A.
is this approach right?
 
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  • #2
tommyhakinen said:
is this approach right?

Yes, looks good.

p.s. Welcome to PF.
 
  • #3
Thank you..
 

FAQ: Solve Pressure Problem: Upward Force for Ocean Hatch

What is the formula for calculating upward force for an ocean hatch?

The formula for calculating upward force for an ocean hatch is F = ρghA, where F is the upward force, ρ is the density of the fluid, g is the acceleration due to gravity, h is the depth of the hatch, and A is the area of the hatch.

How does the depth of the ocean hatch affect the upward force?

The depth of the ocean hatch directly affects the upward force. As the depth increases, the upward force also increases because the pressure at deeper depths is higher, resulting in a greater upward force.

Does the density of the fluid have an impact on the upward force?

Yes, the density of the fluid has a significant impact on the upward force. The denser the fluid, the higher the upward force will be.

Can you use this formula for any type of fluid, or just water?

This formula can be used for any type of fluid, as long as the density and depth are known. However, the formula is most commonly used for water in ocean hatch scenarios.

How is the upward force calculated if the hatch is not at a constant depth?

If the hatch is not at a constant depth, the formula for calculating upward force becomes more complex. It would involve integrating the pressure over the depth of the hatch. This can be achieved through calculus or by using numerical methods.

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