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Pressure Calculator for Depth

Pressure Formula:

\[ P = \rho \times g \times d \]

kg/m³
m/s²
m

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1. What is a Pressure Calculator for Depth?

Definition: This calculator estimates the hydrostatic pressure at a certain depth in a fluid based on the fluid's density, gravitational acceleration, and depth.

Purpose: It helps engineers, divers, and scientists determine the pressure at different depths in liquids.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P = \rho \times g \times d \]

Where:

Explanation: The pressure increases linearly with depth and depends on the fluid's density and local gravity.

3. Importance of Pressure Calculation

Details: Understanding pressure at depth is crucial for designing submarines, diving equipment, hydraulic systems, and underwater structures.

4. Using the Calculator

Tips: Enter the fluid density (1000 kg/m³ for fresh water, 1025 kg/m³ for seawater), gravity (9.81 m/s² on Earth), and depth. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is gravity included in the calculation?
A: Pressure results from the weight of the fluid above, which depends on gravitational acceleration.

Q2: What's a typical density for water?
A: Fresh water is about 1000 kg/m³, seawater about 1025 kg/m³ at surface conditions.

Q3: Does this account for atmospheric pressure?
A: No, this calculates only the hydrostatic pressure. Add 101325 Pa for total pressure at sea level.

Q4: How does pressure change with depth?
A: Pressure increases by about 1 atm (101325 Pa) every 10 meters in water.

Q5: Can this be used for gases?
A: Only for shallow depths in gases where density change is negligible. For significant heights, use the barometric formula.

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