Area of Surface Wetted given Center of Pressure Calculator

✖Moment of Inertia of the section about an axis parallel to the free surface passing through the centroid of the area.ⓘ Moment of Inertia [I]			+10% -10%
✖The Center of Pressure is the point where the total sum of a pressure field acts on a body, causing a force to act through that point.ⓘ Center of Pressure [h^✶]			+10% -10%
✖Depth of Centroid below the free surface.ⓘ Depth of Centroid [D]			+10% -10%

✖Wet Surface Area is the surface area of horizontal wetted plane.ⓘ Area of Surface Wetted given Center of Pressure [A_wet]

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Formula

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Area of Surface Wetted given Center of Pressure

Formula

A wet = \frac{I}{(h ✶ - D) \cdot D}

Example

14.38384 m² = \frac{3.56 kg·m²}{(100 cm - 45 cm) \cdot 45 cm}

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Area of Surface Wetted given Center of Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wet Surface Area = Moment of Inertia/((Center of Pressure-Depth of Centroid)*Depth of Centroid)
A_wet = I/((h^✶-D)*D)
This formula uses 4 Variables

Variables Used

Wet Surface Area - (Measured in Square Meter) - Wet Surface Area is the surface area of horizontal wetted plane.
Moment of Inertia - (Measured in Kilogram Square Meter) - Moment of Inertia of the section about an axis parallel to the free surface passing through the centroid of the area.
Center of Pressure - (Measured in Meter) - The Center of Pressure is the point where the total sum of a pressure field acts on a body, causing a force to act through that point.
Depth of Centroid - (Measured in Meter) - Depth of Centroid below the free surface.

STEP 1: Convert Input(s) to Base Unit

Moment of Inertia: 3.56 Kilogram Square Meter --> 3.56 Kilogram Square Meter No Conversion Required
Center of Pressure: 100 Centimeter --> 1 Meter (Check conversion here)
Depth of Centroid: 45 Centimeter --> 0.45 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_wet = I/((h^✶-D)*D) --> 3.56/((1-0.45)*0.45)

Evaluating ... ...

A_wet = 14.3838383838384

STEP 3: Convert Result to Output's Unit

14.3838383838384 Square Meter --> No Conversion Required

FINAL ANSWER

14.3838383838384 ≈ 14.38384 Square Meter <-- Wet Surface Area

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< Pressure Relations Calculators

Center of Pressure on Inclined Plane

Go Center of Pressure = Depth of Centroid+(Moment of Inertia*sin(Angle)*sin(Angle))/(Wet Surface Area*Depth of Centroid)

Center of Pressure

Go Center of Pressure = Depth of Centroid+Moment of Inertia/(Wet Surface Area*Depth of Centroid)

Differential Pressure between Two Points

Go Pressure Changes = Specific Weight 1*Height of Column 1-Specific weight 2*Height of Column 2

Absolute Pressure at Height h

Go Absolute pressure = Atmospheric Pressure+Specific weight of liquids*Height Absolute

Area of Surface Wetted given Center of Pressure Formula

Wet Surface Area = Moment of Inertia/((Center of Pressure-Depth of Centroid)*Depth of Centroid)
A_wet = I/((h^✶-D)*D)

What do you mean by center of pressure?

The center of pressure is the point where the total sum of a pressure field acts on a body, causing a force to act through that point. The total force vector acting at the center of pressure is the value of the integrated vectorial pressure field.

How to Calculate Area of Surface Wetted given Center of Pressure?

Area of Surface Wetted given Center of Pressure calculator uses Wet Surface Area = Moment of Inertia/((Center of Pressure-Depth of Centroid)*Depth of Centroid) to calculate the Wet Surface Area, The Area of Surface Wetted given Center of Pressure formula is defined as the area of the surface that is submerged in the liquid. Wet Surface Area is denoted by A_wet symbol.

How to calculate Area of Surface Wetted given Center of Pressure using this online calculator? To use this online calculator for Area of Surface Wetted given Center of Pressure, enter Moment of Inertia (I), Center of Pressure (h^✶) & Depth of Centroid (D) and hit the calculate button. Here is how the Area of Surface Wetted given Center of Pressure calculation can be explained with given input values -> 14.38384 = 3.56/((1-0.45)*0.45).

FAQ

What is Area of Surface Wetted given Center of Pressure?

The Area of Surface Wetted given Center of Pressure formula is defined as the area of the surface that is submerged in the liquid and is represented as A_wet = I/((h^✶-D)*D) or Wet Surface Area = Moment of Inertia/((Center of Pressure-Depth of Centroid)*Depth of Centroid). Moment of Inertia of the section about an axis parallel to the free surface passing through the centroid of the area, The Center of Pressure is the point where the total sum of a pressure field acts on a body, causing a force to act through that point & Depth of Centroid below the free surface.

How to calculate Area of Surface Wetted given Center of Pressure?

The Area of Surface Wetted given Center of Pressure formula is defined as the area of the surface that is submerged in the liquid is calculated using Wet Surface Area = Moment of Inertia/((Center of Pressure-Depth of Centroid)*Depth of Centroid). To calculate Area of Surface Wetted given Center of Pressure, you need Moment of Inertia (I), Center of Pressure (h^✶) & Depth of Centroid (D). With our tool, you need to enter the respective value for Moment of Inertia, Center of Pressure & Depth of Centroid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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