What Is the Net Force on a Submarine Hatch at 8.5m Depth?

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SUMMARY

The net force on a submarine hatch at a depth of 8.5 meters in seawater with a density of 1030 kg/m³ is calculated using the formula F = PA, where P represents the pressure and A is the area of the hatch. The pressure at this depth is determined by the hydrostatic pressure plus the atmospheric pressure, resulting in a total pressure of approximately 84,000 Pa. The hatch, which has a diameter of 1.5 meters, requires a net force calculation that accounts for both the external water pressure and the internal atmospheric pressure of 1.00 atm.

PREREQUISITES
  • Understanding of hydrostatic pressure principles
  • Familiarity with the formula F = PA
  • Knowledge of atmospheric pressure and its effects
  • Basic geometry for calculating the area of a circle
NEXT STEPS
  • Calculate the area of a circle using the formula A = πr²
  • Learn about hydrostatic pressure in fluids
  • Explore the effects of atmospheric pressure on submerged objects
  • Study the principles of buoyancy and stability in submarines
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Students in physics or engineering, marine engineers, and anyone interested in underwater pressure dynamics and submarine design.

queen2008
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Homework Statement


a miniature sub is lowered to a depth of 8.5 m in sea water of density 1030 kg/m^3. The interior of the sub is maintained at a pressure fo 1.00 atm. Find the net force that must be withstood by a 1.5 diameter hatch which leads to the insisde.


Homework Equations


F= PA P= p + density X gravity X height


The Attempt at a Solution



Change in Pressure = 0 so P= 1030 X 9.8 X8.5
 
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Hint, there is also one atmosphere of pressure pushing down on top of the water, and one atmosphere of pressure pushing out from the inside of the sub.
 

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