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Depth Calculation Formula:
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The depth calculation formula \( h = \frac{P_g}{\rho \cdot g} \) calculates the depth of a fluid column based on gauge pressure, fluid density, and gravitational acceleration. This formula is derived from the fundamental principles of hydrostatics.
The calculator uses the depth formula:
Where:
Explanation: The formula calculates how deep a fluid column is based on the pressure at the bottom, accounting for the fluid's density and local gravity.
Details: Accurate depth calculation is essential for pool design, hydraulic engineering, underwater construction, and various scientific applications involving fluid mechanics.
Tips: Enter gauge pressure in pascals (Pa), fluid density in kg/m³, and gravitational acceleration in m/s². For Earth's surface, gravity is approximately 9.81 m/s². All values must be positive.
Q1: What is gauge pressure?
A: Gauge pressure is the pressure relative to atmospheric pressure. It's the pressure reading you would get from most pressure gauges.
Q2: What density should I use for water?
A: Pure water at 4°C has a density of 1000 kg/m³. For pool water, this is a good approximation, though saltwater is slightly denser (about 1025 kg/m³).
Q3: Why does gravity affect depth calculation?
A: Gravity determines the weight of the fluid column above a point. Higher gravity means the same mass of fluid exerts more pressure at a given depth.
Q4: Can this formula be used for any fluid?
A: Yes, the formula works for any incompressible fluid, but you must use the correct density value for that specific fluid.
Q5: How accurate is this calculation for real pools?
A: The calculation provides a theoretical depth based on perfect conditions. Real-world factors like temperature variations, water impurities, and measurement accuracy may cause slight deviations.