Pressure 150m Below Sea Surface: Calculate Now!

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SUMMARY

The pressure at a depth of 150 meters below the sea surface is calculated using the formula P = pdg, where p is the density of seawater (1.026 g/cm³), d is the depth (15,000 cm), and g is the acceleration due to gravity (980 cm/s²). The resulting pressure is 150,822,000 g/cm², which converts to 1.51 x 107 dyn/cm² or approximately 15 atm. The discrepancy between the calculated value and the textbook value is clarified by understanding the unit conversion from g/cm² to dyn/cm².

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  • Familiarity with unit conversions, particularly between metric and CGS systems
  • Knowledge of basic physics equations related to force and pressure
  • Concept of density and its application in calculating pressure in fluids
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  • Study fluid mechanics, focusing on hydrostatic pressure calculations
  • Learn about unit conversions between different measurement systems, especially CGS to SI
  • Explore the concept of pressure in fluids, including Pascal's law
  • Research the properties of seawater and its impact on pressure calculations
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Students in physics or engineering, educators teaching fluid mechanics, and anyone interested in understanding pressure calculations in underwater environments.

sodr2
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Homework Statement


Calculate thy pressure 150m below the surface of za sea. The density of sea water is 1.026 g/cm3.


2. Homework Equations & The attempt at a solution
The pressure will depend on how much water is above you...

F = mg
F = pVg --- since density = mass per volume
F = pAdg --- since volume = area * depth
F/A = pdg
Therefore Pressure = pdg

------conversion of units--------
9.8 m/s2 * 100 cm/1 m = 980 cm/s2
150 m = 15 000 cm
--------------------------------

P = (1.026 g/cm3) * 150 000 cm * (980 cm/s2)
P = 150 822 000 g/cm2

But my textbook says 1.51 x 107 dyn/cm2 (= 15 atm)

So is my textbook wrong, or what did I do :redface: ?
 
Physics news on Phys.org
Btw, what is dyn?
 
:frown:

Thanks.
 

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