Center of Pressure on Inclined Plane Calculator

✖Depth of Centroid below the free surface.ⓘ Depth of Centroid [D]			+10% -10%
✖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%
✖Angle between the inclined manometer tube and surface.ⓘ Angle [Θ]			+10% -10%
✖Wet Surface Area is the surface area of horizontal wetted plane.ⓘ Wet Surface Area [A_wet]			+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 on Inclined Plane [h^✶]

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Formula

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Center of Pressure on Inclined Plane

Formula

`"h"^{"✶"} = "D"+("I"*sin("Θ")*sin("Θ"))/("A"_{"wet"}*"D")`

Example

`"509.7635cm"="45cm"+("3.56kg·m²"*sin("35°")*sin("35°"))/("0.56m²"*"45cm")`

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Center of Pressure on Inclined Plane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Center of Pressure = Depth of Centroid+(Moment of Inertia*sin(Angle)*sin(Angle))/(Wet Surface Area*Depth of Centroid)
h^✶ = D+(I*sin(Θ)*sin(Θ))/(A_wet*D)
This formula uses 1 Functions, 5 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

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.
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.
Angle - (Measured in Radian) - Angle between the inclined manometer tube and surface.
Wet Surface Area - (Measured in Square Meter) - Wet Surface Area is the surface area of horizontal wetted plane.

STEP 1: Convert Input(s) to Base Unit

Depth of Centroid: 45 Centimeter --> 0.45 Meter (Check conversion here)
Moment of Inertia: 3.56 Kilogram Square Meter --> 3.56 Kilogram Square Meter No Conversion Required
Angle: 35 Degree --> 0.610865238197901 Radian (Check conversion here)
Wet Surface Area: 0.56 Square Meter --> 0.56 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h^✶ = D+(I*sin(Θ)*sin(Θ))/(A_wet*D) --> 0.45+(3.56*sin(0.610865238197901)*sin(0.610865238197901))/(0.56*0.45)

Evaluating ... ...

h^✶ = 5.09763549555526

STEP 3: Convert Result to Output's Unit

5.09763549555526 Meter -->509.763549555526 Centimeter (Check conversion here)

FINAL ANSWER

509.763549555526 ≈ 509.7635 Centimeter <-- Center of Pressure

(Calculation completed in 00.004 seconds)

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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)

Center of Pressure on Inclined Plane Formula

Center of Pressure = Depth of Centroid+(Moment of Inertia*sin(Angle)*sin(Angle))/(Wet Surface Area*Depth of Centroid)
h^✶ = D+(I*sin(Θ)*sin(Θ))/(A_wet*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 Center of Pressure on Inclined Plane?

Center of Pressure on Inclined Plane calculator uses Center of Pressure = Depth of Centroid+(Moment of Inertia*sin(Angle)*sin(Angle))/(Wet Surface Area*Depth of Centroid) to calculate the Center of Pressure, The Center of Pressure on Inclined plane is defined as the resultant force FR which acts perpendicular to the plane when the fluid is at rest. Center of Pressure is denoted by h^✶ symbol.

How to calculate Center of Pressure on Inclined Plane using this online calculator? To use this online calculator for Center of Pressure on Inclined Plane, enter Depth of Centroid (D), Moment of Inertia (I), Angle (Θ) & Wet Surface Area (A_wet) and hit the calculate button. Here is how the Center of Pressure on Inclined Plane calculation can be explained with given input values -> 56553.52 = 0.45+(3.56*sin(0.610865238197901)*sin(0.610865238197901))/(0.56*0.45).

FAQ

What is Center of Pressure on Inclined Plane?

The Center of Pressure on Inclined plane is defined as the resultant force FR which acts perpendicular to the plane when the fluid is at rest and is represented as h^✶ = D+(I*sin(Θ)*sin(Θ))/(A_wet*D) or Center of Pressure = Depth of Centroid+(Moment of Inertia*sin(Angle)*sin(Angle))/(Wet Surface Area*Depth of Centroid). Depth of Centroid below the free surface, Moment of Inertia of the section about an axis parallel to the free surface passing through the centroid of the area, Angle between the inclined manometer tube and surface & Wet Surface Area is the surface area of horizontal wetted plane.

How to calculate Center of Pressure on Inclined Plane?

The Center of Pressure on Inclined plane is defined as the resultant force FR which acts perpendicular to the plane when the fluid is at rest is calculated using Center of Pressure = Depth of Centroid+(Moment of Inertia*sin(Angle)*sin(Angle))/(Wet Surface Area*Depth of Centroid). To calculate Center of Pressure on Inclined Plane, you need Depth of Centroid (D), Moment of Inertia (I), Angle (Θ) & Wet Surface Area (A_wet). With our tool, you need to enter the respective value for Depth of Centroid, Moment of Inertia, Angle & Wet Surface Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Center of Pressure?

In this formula, Center of Pressure uses Depth of Centroid, Moment of Inertia, Angle & Wet Surface Area. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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