1. What is the Depth Formula?

The depth formula calculates fluid depth from pressure using the hydrostatic pressure principle. It's commonly used in fluid mechanics, oceanography, and engineering to determine the depth of liquids based on pressure measurements.

2. How Does the Calculator Work?

The calculator uses the depth formula:

Where:

• \( Pressure \) — Hydrostatic pressure in Pascals (Pa)
• \( \rho \) — Fluid density in kilograms per cubic meter (kg/m³)
• \( g \) — Gravitational acceleration in meters per second squared (m/s²)

Explanation: The formula derives from the hydrostatic pressure equation P = ρgh, rearranged to solve for depth (h).

3. Importance of Depth Calculation

Details: Accurate depth calculation is essential for underwater exploration, dam design, submarine operations, fluid storage tank monitoring, and various engineering applications involving fluid pressure.

4. Using the Calculator

Tips: Enter pressure in Pascals, density in kg/m³, and gravitational acceleration in m/s². Standard gravity is 9.81 m/s². All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What is hydrostatic pressure?
A: Hydrostatic pressure is the pressure exerted by a fluid at equilibrium due to the force of gravity. It increases with depth.

Q2: Why does density matter in depth calculation?
A: Different fluids have different densities. For the same pressure, denser fluids will have shallower depths than less dense fluids.

Q3: Can this formula be used for gases?
A: The formula works best for incompressible fluids like liquids. For gases, compressibility effects may need to be considered.

Q4: What are typical density values for common fluids?
A: Fresh water: 1000 kg/m³, Sea water: 1025 kg/m³, Oil: ~800-900 kg/m³, Mercury: 13500 kg/m³.

Q5: How accurate is this calculation?
A: The calculation assumes constant density and gravity, and neglects atmospheric pressure. For precise measurements, these factors may need adjustment.