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Pressure At Depth Calculation Example

Pressure Formula:

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

kg/m³
m/s²
m

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1. What is Pressure at Depth?

Pressure at depth refers to the hydrostatic pressure exerted by a fluid at a specific depth below the surface. It increases linearly with depth due to the weight of the fluid above.

2. How Does the Calculator Work?

The calculator uses the hydrostatic pressure formula:

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

Where:

Example: For water at 10m depth: P = 1000 × 9.81 × 10 = 98,100 Pa

3. Importance of Pressure Calculation

Details: Accurate pressure calculation is crucial for engineering applications, scuba diving safety, underwater construction, and fluid dynamics studies.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Why does pressure increase with depth?
A: Pressure increases due to the weight of the fluid column above the measurement point. The deeper you go, the more fluid is above you.

Q2: What is the standard density for water?
A: Pure water at 4°C has a density of 1000 kg/m³. Saltwater is denser at approximately 1025 kg/m³.

Q3: How does gravity affect pressure?
A: Higher gravity means greater weight per unit mass, resulting in higher pressure at the same depth.

Q4: Can this formula be used for gases?
A: For gases, the formula is less accurate due to compressibility. Atmospheric pressure calculations require different approaches.

Q5: What are common units for pressure?
A: Pascals (Pa), bars (1 bar = 100,000 Pa), atmospheres (1 atm = 101,325 Pa), and psi (pounds per square inch).

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