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Calculate Water Pressure Based on Height and Volume

Water Pressure Equation:

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

kg/m³
m/s²
meters

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1. What is the Water Pressure Equation?

The water pressure equation (P = ρ × g × h) calculates the hydrostatic pressure at a certain depth in a fluid. It's fundamental in fluid mechanics and engineering applications.

2. How Does the Calculator Work?

The calculator uses the hydrostatic pressure equation:

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

Where:

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

3. Importance of Water Pressure Calculation

Details: Accurate pressure calculation is crucial for designing dams, water towers, plumbing systems, and understanding blood pressure in medical contexts.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Does this work for any fluid?
A: Yes, but you must use the correct density (ρ) for the specific fluid (e.g., 13600 kg/m³ for mercury).

Q2: How does volume affect pressure?
A: Volume doesn't directly affect pressure in this equation. Pressure depends only on depth, not container shape or total volume.

Q3: What's the pressure at 10m underwater?
A: For water (ρ=1000 kg/m³), g=9.81 m/s²: P = 1000 × 9.81 × 10 = 98,100 Pa or ~1 atm gauge pressure.

Q4: Does this account for atmospheric pressure?
A: No, this calculates gauge pressure. Add atmospheric pressure (101325 Pa) for absolute pressure.

Q5: How to convert Pa to other units?
A: 1 Pa = 0.000145 psi, 1 kPa = 0.01 bar, 1 atm = 101325 Pa.

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