1. What is Pressure from Gravity and Height?

Definition: This calculator determines the hydrostatic pressure at a certain depth in a fluid based on its density, gravity, and height.

Purpose: It helps engineers, physicists, and students calculate pressure in fluids for various applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( P \) — Pressure (Pascals)
• \( \rho \) — Fluid density (kg/m³)
• \( g \) — Gravity (9.81 m/s² on Earth)
• \( h \) — Height/depth of fluid column (m)

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

3. Importance of Pressure Calculation

Details: Understanding fluid pressure is crucial for designing dams, submarines, hydraulic systems, and understanding atmospheric phenomena.

4. Using the Calculator

Tips: Enter the fluid density (e.g., 1000 kg/m³ for water), gravity (default 9.81 m/s²), and height/depth. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What units does this calculator use?
A: The calculator uses SI units: kg/m³ for density, m/s² for gravity, meters for height, and Pascals for pressure.

Q2: Why is gravity 9.81 m/s²?
A: This is the standard acceleration due to gravity on Earth's surface. It varies slightly by location.

Q3: Does this work for gases?
A: Yes, but gas density often changes with height (unlike liquids), making calculations more complex.

Q4: How does this relate to atmospheric pressure?
A: Atmospheric pressure is the cumulative pressure from the weight of all air above a point.

Q5: What's a typical water pressure at 10m depth?
A: About 98,100 Pa (using ρ=1000 kg/m³, g=9.81 m/s², h=10m).