1. What is a Pressure from Height Calculator?

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

Purpose: It helps engineers, physicists, and students calculate pressure in various applications like hydraulic systems, underwater diving, and fluid mechanics.

2. How Does the Calculator Work?

The calculator uses the hydrostatic pressure formula:

Where:

• \( P \) — Pressure (Pascals, Pa)
• \( \rho \) — Fluid density (kg/m³)
• \( g \) — Gravitational acceleration (9.81 m/s² on Earth)
• \( h \) — Height of fluid column (meters)

Explanation: The pressure increases linearly with depth due to the weight of the fluid above the measurement point.

3. Importance of Pressure Calculation

Details: Accurate pressure calculations are essential for designing dams, submarines, hydraulic systems, and understanding atmospheric phenomena.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is hydrostatic pressure?
A: It's the pressure exerted by a fluid at equilibrium due to the force of gravity.

Q2: Does this work for gases?
A: The formula works for incompressible fluids. For gases (compressible fluids), the calculation is more complex.

Q3: What's the pressure at 10m underwater?
A: For water (ρ=1000 kg/m³), P = 1000 × 9.81 × 10 = 98,100 Pa or ~98.1 kPa.

Q4: How does pressure change with depth?
A: Pressure increases linearly with depth in an incompressible fluid.

Q5: What units does this calculator use?
A: It uses SI units: kg/m³ for density, m/s² for gravity, m for height, and Pa for pressure.