Depth of Centroid given Center of Pressure Calculator

✖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%
✖Surface area of horizontal wetted plane.ⓘ Surface Area [SA_Wetted]			+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%

✖Depth of Centroid below the free surface.ⓘ Depth of Centroid given Center of Pressure [D]

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Depth of Centroid given Center of Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Centroid = (Center of Pressure*Surface Area+sqrt((Center of Pressure*Surface Area)^2+4*Surface Area*Moment of Inertia))/(2*Surface Area)
D = (h^✶*SA_Wetted+sqrt((h^✶*SA_Wetted)^2+4*SA_Wetted*I))/(2*SA_Wetted)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Depth of Centroid - (Measured in Meter) - Depth of Centroid below the free surface.
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.
Surface Area - (Measured in Square Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Center of Pressure: 100 Centimeter --> 1 Meter (Check conversion here)
Surface Area: 7.3 Square Meter --> 7.3 Square Meter No Conversion Required
Moment of Inertia: 3.56 Kilogram Square Meter --> 3.56 Kilogram Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = (h^✶*SA_Wetted+sqrt((h^✶*SA_Wetted)^2+4*SA_Wetted*I))/(2*SA_Wetted) --> (1*7.3+sqrt((1*7.3)^2+4*7.3*3.56))/(2*7.3)

Evaluating ... ...

D = 1.35887789171495

STEP 3: Convert Result to Output's Unit

1.35887789171495 Meter -->135.887789171495 Centimeter (Check conversion here)

FINAL ANSWER

135.887789171495 ≈ 135.8878 Centimeter <-- Depth of Centroid

(Calculation completed in 00.020 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Pressure Relations Calculators

Center of Pressure on Inclined Plane

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

Center of Pressure

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

Differential Pressure between Two Points

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

Absolute Pressure at Height h

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

Depth of Centroid given Center of Pressure Formula

LaTeX Go

Define 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. The resultant force and center of pressure location produce equivalent force and moment on the body as the original pressure field. Pressure fields occur in both static and dynamic fluid mechanics.

How to Calculate Depth of Centroid given Center of Pressure?

Depth of Centroid given Center of Pressure calculator uses Depth of Centroid = (Center of Pressure*Surface Area+sqrt((Center of Pressure*Surface Area)^2+4*Surface Area*Moment of Inertia))/(2*Surface Area) to calculate the Depth of Centroid, The Depth of Centroid given Center of Pressure formula is defined as the length in between the centroid from the mean sea level. Depth of Centroid is denoted by D symbol.

How to calculate Depth of Centroid given Center of Pressure using this online calculator? To use this online calculator for Depth of Centroid given Center of Pressure, enter Center of Pressure (h^✶), Surface Area (SA_Wetted) & Moment of Inertia (I) and hit the calculate button. Here is how the Depth of Centroid given Center of Pressure calculation can be explained with given input values -> 13588.78 = (1*7.3+sqrt((1*7.3)^2+4*7.3*3.56))/(2*7.3).

FAQ

What is Depth of Centroid given Center of Pressure?

The Depth of Centroid given Center of Pressure formula is defined as the length in between the centroid from the mean sea level and is represented as D = (h^✶*SA_Wetted+sqrt((h^✶*SA_Wetted)^2+4*SA_Wetted*I))/(2*SA_Wetted) or Depth of Centroid = (Center of Pressure*Surface Area+sqrt((Center of Pressure*Surface Area)^2+4*Surface Area*Moment of Inertia))/(2*Surface 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, Surface area of horizontal wetted plane & Moment of Inertia of the section about an axis parallel to the free surface passing through the centroid of the area.

How to calculate Depth of Centroid given Center of Pressure?

The Depth of Centroid given Center of Pressure formula is defined as the length in between the centroid from the mean sea level is calculated using Depth of Centroid = (Center of Pressure*Surface Area+sqrt((Center of Pressure*Surface Area)^2+4*Surface Area*Moment of Inertia))/(2*Surface Area). To calculate Depth of Centroid given Center of Pressure, you need Center of Pressure (h^✶), Surface Area (SA_Wetted) & Moment of Inertia (I). With our tool, you need to enter the respective value for Center of Pressure, Surface Area & Moment of Inertia 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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