Hydrostatic Pressure Calculator
This calculator is designed for engineers and students to quickly determine the hydrostatic pressure of a fluid in a container. It helps solve problems in fluid mechanics by providing accurate calculations for pressure at a given depth.
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Data Source and Methodology
All calculations are based on standard fluid mechanics principles from authoritative sources such as "Fluid Mechanics" by Frank M. White. All calculations strictly adhere to these principles and data.
The Formula Explained
The hydrostatic pressure is calculated using the formula:
Where:
- \( P \) is the hydrostatic pressure
- \( \rho \) is the fluid density
- \( g \) is the gravitational acceleration
- \( h \) is the fluid depth
Glossary of Terms
- Fluid Density: The mass per unit volume of a fluid.
- Gravitational Acceleration: The acceleration due to gravity (usually 9.81 m/s²).
- Fluid Depth: The depth of the fluid column.
- Hydrostatic Pressure: The pressure exerted by the fluid at a given depth.
Example Calculation
Consider a tank filled with water (\( \rho = 1000 \) kg/m³) to a depth of 10 meters. Using \( g = 9.81 \) m/s², the hydrostatic pressure at the bottom is calculated as:
Frequently Asked Questions (FAQ)
What affects hydrostatic pressure?
Hydrostatic pressure is affected by fluid density, gravitational acceleration, and fluid depth.
Is hydrostatic pressure the same at all depths?
No, it increases with depth because of the increasing weight of the fluid above.
Why is gravitational acceleration important?
Gravitational acceleration affects the weight of the fluid and thus the pressure exerted at a depth.