Absolute Pressure At Any Point On Submerged Plate Given Intersecting Angle Calculator

Formula Used:

\[ P = P_o + (\rho_{Fluid} \times [g] \times y \times \sin(\theta_{Intersect})) \]

Absolute Pressure above Liquid (P₀):

Density of Fluid (ρ):

kg/m³

Distance from X-Axis (y):

Intersecting Angle (θ):

degrees

Absolute Pressure at Point (P):

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1. What is Absolute Pressure at Any Point on Submerged Plate?

Absolute pressure at any point on a submerged plate is the total pressure experienced at that point, including both the atmospheric pressure above the liquid and the hydrostatic pressure due to the depth and orientation of the plate.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P = P_o + (\rho_{Fluid} \times [g] \times y \times \sin(\theta_{Intersect})) \]

Where:

\( P \) — Absolute pressure at any point on plate (Pa)
\( P_o \) — Absolute pressure above liquid (Pa)
\( \rho_{Fluid} \) — Density of fluid (kg/m³)
\( [g] \) — Gravitational acceleration (9.80665 m/s²)
\( y \) — Distance of the point from x-axis (m)
\( \theta_{Intersect} \) — Intersecting angle (radians)

Explanation: The formula accounts for the vertical component of the depth through the sine of the intersecting angle, which determines the effective depth contributing to hydrostatic pressure.

3. Importance of Pressure Calculation

Details: Accurate pressure calculation is crucial for structural design of submerged surfaces, determining fluid forces on plates, and ensuring safety in hydraulic engineering applications.

4. Using the Calculator

Tips: Enter absolute pressure above liquid in Pascals, fluid density in kg/m³, distance from x-axis in meters, and intersecting angle in degrees. All values must be valid (positive values, angle between 0-90 degrees).

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between absolute and gauge pressure?
A: Absolute pressure includes atmospheric pressure, while gauge pressure measures pressure relative to atmospheric pressure.

Q2: Why is the intersecting angle important?
A: The intersecting angle determines the effective vertical depth component that contributes to hydrostatic pressure at any point on the plate.

Q3: What are typical values for fluid density?
A: Water density is approximately 1000 kg/m³, while other fluids like oil (800-900 kg/m³) or mercury (13500 kg/m³) have different densities.

Q4: How does plate orientation affect pressure distribution?
A: Pressure increases linearly with depth, so the orientation affects how pressure varies across the plate surface.

Q5: Are there limitations to this formula?
A: This formula assumes constant fluid density, incompressible fluid, and neglects surface tension effects and dynamic pressure components.