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How To Calculate Pressure Under Water

Pressure Under Water Formula:

\[ P_g = \rho g h \]

kg/m³
m/s²
m

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1. What is Pressure Under Water?

The pressure under water, also known as hydrostatic pressure or gauge pressure, is the pressure exerted by a fluid at equilibrium at a given depth due to the force of gravity. It increases linearly with depth and density of the fluid.

2. How Does the Calculator Work?

The calculator uses the hydrostatic pressure formula:

\[ P_g = \rho g h \]

Where:

Explanation: The formula calculates the pressure exerted by a column of fluid at a specific depth, accounting for the fluid's density and gravitational acceleration.

3. Importance of Pressure Calculation

Details: Calculating pressure under water is crucial for engineering applications, scuba diving safety, underwater construction, and understanding fluid dynamics in various scientific and industrial contexts.

4. Using the Calculator

Tips: Enter fluid density in kg/m³ (1000 for fresh water), gravitational acceleration in m/s² (9.81 for Earth), and depth in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between absolute pressure and gauge pressure?
A: Gauge pressure is the pressure relative to atmospheric pressure, while absolute pressure includes atmospheric pressure. P_absolute = P_gauge + P_atmospheric.

Q2: How does water density affect pressure?
A: Higher density fluids exert greater pressure at the same depth. Salt water (density ~1025 kg/m³) exerts more pressure than fresh water (1000 kg/m³).

Q3: Does this formula work for all fluids?
A: Yes, the formula works for any incompressible fluid. Simply use the appropriate density value for the specific fluid.

Q4: How does gravity affect underwater pressure?
A: Higher gravitational acceleration increases pressure. On planets with stronger gravity, the same depth would result in higher pressure.

Q5: What are typical pressure values at different depths?
A: In seawater, pressure increases by approximately 1 atmosphere (101.3 kPa) for every 10 meters of depth.

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