Underwater Pressure: 9.42 ATM, Find Vessel's Depth

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SUMMARY

The discussion focuses on calculating the depth of a vessel submerged in fresh water under a pressure of 9.42 ATM. The relevant formula used is P = Po + pgh, where P represents the pressure, Po is the atmospheric pressure, p is the density of water (1000 kg/m³), g is the acceleration due to gravity (approximately 9.81 m/s²), and h is the depth. Participants confirm the use of this formula to derive the depth from the given pressure, emphasizing the importance of understanding the relationship between pressure and depth in fluid mechanics.

PREREQUISITES
  • Understanding of fluid mechanics principles
  • Familiarity with the formula P = Po + pgh
  • Knowledge of atmospheric pressure (1 ATM = 101.325 kPa)
  • Basic understanding of units of measurement (meters, kilograms, seconds)
NEXT STEPS
  • Research how to convert ATM to Pascals for pressure calculations
  • Learn about the effects of water density variations on pressure calculations
  • Explore applications of the hydrostatic pressure formula in real-world scenarios
  • Investigate the impact of depth on buoyancy and vessel stability
USEFUL FOR

Students studying physics or engineering, marine engineers, and anyone interested in underwater pressure calculations and fluid dynamics.

cchiapuzio
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Homework Statement


The pressure exerted on an underwater vessel is 9.42 ATM. If the vessel is in fresh water, to what depth has the vessel descended?

2. Formula

P=Po + pgh

It is fresh water so p=1000 kg/m^3
 
Last edited:
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Hi cchiapuzio and welcome to the forum!
Do you know any formula that relates pressure vs depth? If yes, post it here and try to use it. :smile:
Also, what is water density?
 

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