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Calculate Pressure at Depth

Pressure at Depth Formula:

\[ P = \rho \times g \times d + P_{\text{surface}} \]

kg/m³
meters
Pa

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1. What is Pressure at Depth Calculation?

Definition: This calculator determines the pressure at a specific depth in a fluid, accounting for both the fluid's weight and any surface pressure.

Purpose: Essential for engineering, diving, and scientific applications where understanding pressure variations in fluids is critical.

2. How Does the Calculator Work?

The calculator uses the hydrostatic pressure formula:

\[ P = \rho \times g \times d + P_{\text{surface}} \]

Where:

Explanation: The pressure increases linearly with depth due to the weight of the fluid above, added to any existing surface pressure.

3. Importance of Pressure Calculation

Details: Accurate pressure calculations are vital for designing underwater structures, diving safety, hydraulic systems, and many scientific applications.

4. Using the Calculator

Tips: Enter the fluid density, depth, and surface pressure (default 101325 Pa for standard atmosphere). All values must be ≥ 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the standard atmospheric pressure?
A: At sea level, it's approximately 101325 Pascals (1 atm).

Q2: How does water density affect pressure?
A: Fresh water is about 1000 kg/m³, seawater about 1025 kg/m³ - higher density means greater pressure increase with depth.

Q3: Why is gravitational acceleration included?
A: It accounts for the weight of the fluid column above the measurement point.

Q4: Does this work for gases as well as liquids?
A: The formula works for liquids (incompressible fluids). For gases, density changes with pressure so more complex calculations are needed.

Q5: How accurate is this calculation?
A: Very accurate for liquids at constant temperature where density doesn't vary with depth.

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