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πŸ’¨ Fluid Pressure Calculator

Calculate the hydrostatic pressure exerted by a fluid at any given depth. Essential for hydraulic systems and marine engineering.

Hydrostatic Pressure Explained

Hydrostatic pressure is the pressure exerted by a fluid at equilibrium at a given point within the fluid, due to the force of gravity. The pressure increases as you go deeper because of the cumulative weight of the fluid above.

P = ρ Γ— g Γ— h

Where:

  • P: Hydrostatic pressure (Pascals)
  • ρ (rho): Density of the fluid (kg/mΒ³)
  • g: Acceleration due to gravity (β‰ˆ 9.81 m/sΒ²)
  • h: Depth or height of the fluid column (m)
Fluid Pressure Diagram

Figure 1: Pressure increases linearly with depth h.

Total Pressure vs. Gauge Pressure

This calculator provides Gauge Pressureβ€”the pressure caused only by the fluid. If the container is open to the atmosphere, the Total Pressure is the Gauge Pressure plus Atmospheric Pressure (β‰ˆ 101,325 Pa).

Engineering Applications

  • Dams and Reservoirs: Designing walls to withstand massive water pressure at the base.
  • Hydraulic Systems: Calculating required pump force for lifting heavy loads.
  • Scuba Diving: Understanding how pressure increases every 10 meters (approx. 1 atmosphere).