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StartseiteWissenschaft & TechnikHydrostatic Pressure Calculator
Wissenschaft & Technikfluid-mechanics100% Client-Side PrivacyDeterministic Engine

Hydrostatic Pressure Calculator

Hydrostatic Pressure Calculator bietet schnelle, präzise und datenschutzsichere Berechnungen direkt in Ihrem Browser.

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P = P₀ + ρ · g · h
Variable Definitions:
  • P: Absolute total pressure
  • P₀: Surface atmospheric pressure (standard 101,325 Pa)
  • ρ: Fluid density (seawater = 1,025 kg/m³, freshwater = 1,000 kg/m³)
  • g: Acceleration due to gravity (standard 9.80665 m/s²)
  • h: Depth below the fluid surface

Hydrostatic pressure increases linearly with depth as the weight of the overlying liquid column presses downward under gravity.

Worked Calculation Example

Seawater pressure at 30 meters depth
Input: Depth = 30 m | Fluid = Seawater (1,025 kg/m³) | P₀ = 1 atm (1.01325 bar)
Result: 4.030 bar Absolute (3.017 bar Gauge)
P_gauge = 1,025 × 9.80665 × 30 = 301,554 Pa ≈ 3.016 bar. P_abs = 1.01325 + 3.016 = 4.029 bar.
Freshwater pressure at 10 meters depth
Input: Depth = 10 m | Fluid = Freshwater (1,000 kg/m³)
Result: 1.994 bar Absolute (0.981 bar Gauge)
Every 10 meters of freshwater adds approximately 1 atmosphere (0.98 bar) of gauge pressure.
Read complete educational guide & proof

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Deep-Dive Guide & Mathematical Principles

Hydrostatic pressure is the pressure exerted by a fluid at equilibrium at any given point within the fluid, due to the force of gravity. It is fundamental in oceanography, civil engineering, dam design, and scuba diving physiology.

Worked Example

Given depth h = 40 m in seawater (ρ = 1025 kg/m³), P_gauge = 1025 kg/m³ × 9.80665 m/s² × 40 m = 402,072.65 Pa (4.021 bar). P_total = 101,325 Pa + 402,072.65 Pa = 503,397.65 Pa (4.968 atm).

Common Pitfalls to Avoid

  • •Confusing gauge pressure with absolute pressure when sizing pressurized diving equipment.
  • •Assuming water is completely incompressible under ultra-deep abyssal trench conditions.

Frequently Asked Questions

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Interactive Scientific Workspace

Real-time deterministic evaluation based on certified physical equations.

Certified SI Sandbox
meters

Equivalent to 98.4 feet depth.

Density ρ significantly affects hydrostatic gradient.

Calculated Primary Output
402.879kPa (abs)
Deterministic Step Solution
Hydrostatic Gauge Pressure [P_gauge = ρ · g · h]
1025 kg/m³ · 9.80665 m/s² · 30 m = 301.5545 kPa (3.0155 bar)
Absolute Total Pressure [P_abs = P_0 + P_gauge]
101.325 kPa + 301.5545 kPa = 402.8795 kPa
Scientific Interpretation:At a depth of 30 meters in fluid with density 1025 kg/m³, the absolute pressure is 4.029 bar (58.43 psi). Gauge pressure alone is 3.016 bar.
Gauge Pressure (bar)
3.0155 bar
Gauge Pressure (psi)
43.7368 psi
Absolute Pressure (atm)
3.9761 atm
Water Column (m of H2O)
30 m H₂O
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