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Hydrostatic Pressure Calculator

1. What is a Hydrostatic Pressure Calculator?

Definition: This calculator computes hydrostatic pressure and total pressure (including atmospheric pressure) in a fluid column based on the formula \( P = \rho gh \) and \( P_{\text{total}} = P_0 + \rho gh \).

Purpose: It helps engineers and scientists analyze fluid pressures in applications like underwater systems, dams, and reservoirs.

2. How Does the Calculator Work?

Calculations are based on:

\[ P = \rho gh \] \[ P_{\text{total}} = P_0 + \rho gh \]

Unit Conversions:

Category Unit Conversion to SI Unit
Density kg/m³ 1 kg/m³
lb/ft³ 1 lb/ft³ = 16.0185 kg/m³
g/cm³ 1 g/cm³ = 1000 kg/m³
g/ml 1 g/ml = 1000 kg/m³
lb/in³ 1 lb/in³ = 27679.9 kg/m³
lb/gal 1 lb/gal (US) = 119.826 kg/m³
Gravity m/s² 1 m/s²
ft/s² 1 ft/s² = 0.3048 m/s²
Depth m (Meters) 1 m
cm (Centimeters) 1 cm = 0.01 m
mm (Millimeters) 1 mm = 0.001 m
dm (Decimeters) 1 dm = 0.1 m
in (Inches) 1 in = 0.0254 m
ft (Feet) 1 ft = 0.3048 m
yd (Yards) 1 yd = 0.9144 m
Pressure Pa (Pascals) 1 Pa
bar 1 bar = 100,000 Pa
psi (Pounds per square inch) 1 psi = 6894.76 Pa
at (Technical atmospheres) 1 at = 98,066.5 Pa
atm (Standard atmospheres) 1 atm = 101,325 Pa
Torr 1 Torr = 133.322 Pa
hPa (Hectopascals) 1 hPa = 100 Pa
kPa (Kilopascals) 1 kPa = 1000 Pa
MPa (Megapascals) 1 MPa = 1,000,000 Pa
inHg (Inches of mercury) 1 inHg = 3386.39 Pa
Explanation: Density, gravity, and depth are converted to SI units (kg/m³, m/s², m), and pressure is calculated in Pa, then converted to other units.

3. Importance of Hydrostatic Pressure Calculation

Details: Accurate pressure calculations are critical for designing safe and efficient fluid systems, such as underwater structures and hydraulic equipment.

4. Using the Calculator

Tips: Enter density (kg/m³, lb/ft³, g/cm³, g/ml, lb/in³, lb/gal), gravity (m/s² or ft/s²), depth (m, cm, mm, dm, in, ft, yd; >0), and optional atmospheric pressure (Pa, bar, psi, at, atm, Torr, hPa, kPa, MPa, inHg). Results include hydrostatic pressure and total pressure in multiple units.

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