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"} = "I"/(("h"^{"✶"}-"D")*"D")`

Example

`"14.38384m²"="3.56kg·m²"/(("100cm"-"45cm")*"45cm")`

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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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< 25 Pressure Relations Calculators

Depth of Centroid given Center of Pressure

Go Depth of Centroid = (Center of Pressure*Surface area+sqrt((Center of Pressure*Surface area)^2+4*Surface area*Moment of Inertia))/(2*Surface area)

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)

Differential Pressure-Differential Manometer

Go Pressure Changes = Specific weight 2*Height of Column 2+Specific Weight of Manometer liquid*Height of Manometer Liquid-Specific Weight 1*Height of Column 1

Area of Surface Wetted given Center of Pressure

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

Height of Fluid 1 given Differential Pressure between Two Points

Go Height of Column 1 = (Pressure Changes+Specific weight 2*Height of Column 2)/Specific Weight 1

Height of Fluid 2 given Differential Pressure between Two Points

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

Moment of Inertia of Centroid given Center of Pressure

Go Moment of Inertia = (Center of Pressure-Depth of Centroid)*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

Angle of Inclined Manometer given Pressure at Point

Go Angle = asin(Pressure on Point/Specific Weight 1*Length of Inclined Manometer)

Length of Inclined Manometer

Go Length of Inclined Manometer = Pressure a/(Specific Weight 1*sin(Angle))

Pressure using Inclined Manometer

Go Pressure a = Specific Weight 1*Length of Inclined Manometer*sin(Angle)

Absolute Pressure at Height h

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

Height of Liquid given its Absolute Pressure

Go Height Absolute = (Absolute pressure-Atmospheric pressure)/Specific Weight

Pressure Wave Velocity in Fluids

Go Velocity of pressure wave = sqrt(Bulk Modulus/Mass Density)

Velocity of Fluid given Dynamic Pressure

Go Fluid Velocity = sqrt(Dynamic Pressure*2/Liquid Density)

Dynamic Pressure Head-Pitot Tube

Go Dynamic Pressure Head = (Fluid Velocity^(2))/(2*Acceleration Due To Gravity)

Diameter of Soap Bubble

Go Diameter of Droplet = (8*Surface Tensions)/Pressure Changes

Surface Tension of Liquid Drop given Change in Pressure

Go Surface Tensions = Pressure Changes*Diameter of Droplet/4

Diameter of Droplet given Change in Pressure

Go Diameter of Droplet = 4*Surface Tensions/Pressure Changes

Mass Density given Velocity of Pressure Wave

Go Mass Density = Bulk Modulus/(Velocity of pressure wave^2)

Surface Tension of Soap Bubble

Go Surface Tensions = Pressure Changes*Diameter of Droplet/8

Dynamic Pressure of Fluid

Go Dynamic Pressure = (Liquid Density*Fluid Velocity^(2))/2

Bulk Modulus given Velocity of Pressure Wave

Go Bulk Modulus = Velocity of pressure wave^2*Mass Density

Density of Liquid given Dynamic Pressure

Go Liquid Density = 2*Dynamic Pressure/(Fluid Velocity^2)

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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