1. What is the Pressure in Tank Equation?

The pressure in tank equation \( P_g = \rho g h \) calculates the hydrostatic pressure at a certain depth in a fluid. This formula is fundamental in fluid mechanics and engineering applications involving tanks, reservoirs, and other fluid containers.

2. How Does the Calculator Work?

The calculator uses the pressure equation:

Where:

• \( P_g \) — Gauge pressure (Pa)
• \( \rho \) — Fluid density (kg/m³)
• \( g \) — Gravitational acceleration (m/s²)
• \( h \) — Height/depth of fluid (m)

Explanation: The equation calculates the pressure exerted by a fluid column due to gravity, which increases linearly with depth.

3. Importance of Pressure Calculation

Details: Accurate pressure calculation is crucial for designing tanks, pipes, and fluid systems, ensuring structural integrity, and determining pump requirements in various engineering applications.

4. Using the Calculator

Tips: Enter fluid density in kg/m³, gravitational acceleration in m/s² (9.81 m/s² on Earth), and fluid height in meters. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between gauge pressure and absolute pressure?
A: Gauge pressure is the pressure relative to atmospheric pressure, while absolute pressure includes atmospheric pressure. This calculator gives gauge pressure.

Q2: Does this equation work for all fluids?
A: Yes, but the density value must be appropriate for the specific fluid (water ≈ 1000 kg/m³, oil ≈ 800-900 kg/m³, etc.).

Q3: Why is gravitational acceleration important?
A: Pressure results from the weight of the fluid, which depends on gravity. Different planets would have different pressure for the same fluid height.

Q4: How does tank shape affect pressure?
A: Pressure depends only on depth, not on the shape or size of the container (assuming the fluid is static).

Q5: What are typical units for pressure?
A: Pascals (Pa) are the SI unit, but other common units include psi, bar, atm, and mmHg. 101,325 Pa = 1 atm = 14.7 psi.