Depth of Centroid given Center of Pressure Calculator

✖The Center of Pressure is the point on a submerged surface where the total pressure force acts, influencing the stability and behavior of submerged objects in fluid mechanics.ⓘ Center of Pressure [h^✶]			+10% -10%
✖The Surface Area is the total area that the surface of an object occupies, influencing fluid interactions and pressure distribution in mechanical systems.ⓘ Surface Area [S_W]			+10% -10%
✖The Moment of Inertia is a measure of an object's resistance to rotational motion about a specific axis, reflecting how mass is distributed relative to that axis.ⓘ Moment of Inertia [I]			+10% -10%

✖The Depth of Centroid is the vertical distance from a reference point to the centroid of a fluid's surface, influencing pressure distribution in fluid mechanics.ⓘ 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^✶*S_W+sqrt((h^✶*S_W)^2+4*S_W*I))/(2*S_W)
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) - The Depth of Centroid is the vertical distance from a reference point to the centroid of a fluid's surface, influencing pressure distribution in fluid mechanics.
Center of Pressure - (Measured in Meter) - The Center of Pressure is the point on a submerged surface where the total pressure force acts, influencing the stability and behavior of submerged objects in fluid mechanics.
Surface Area - (Measured in Square Meter) - The Surface Area is the total area that the surface of an object occupies, influencing fluid interactions and pressure distribution in mechanical systems.
Moment of Inertia - (Measured in Kilogram Square Meter) - The Moment of Inertia is a measure of an object's resistance to rotational motion about a specific axis, reflecting how mass is distributed relative to that axis.

STEP 1: Convert Input(s) to Base Unit

Center of Pressure: 100 Centimeter --> 1 Meter (Check conversion here)
Surface Area: 3000 Square Meter --> 3000 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^✶*S_W+sqrt((h^✶*S_W)^2+4*S_W*I))/(2*S_W) --> (1*3000+sqrt((1*3000)^2+4*3000*3.56))/(2*3000)

Evaluating ... ...

D = 1.00118526182108

STEP 3: Convert Result to Output's Unit

1.00118526182108 Meter -->100.118526182108 Centimeter (Check conversion here)

FINAL ANSWER

100.118526182108 ≈ 100.1185 Centimeter <-- Depth of Centroid

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

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

Depth of Centroid given Center of Pressure Formula

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^✶*S_W+sqrt((h^✶*S_W)^2+4*S_W*I))/(2*S_W)

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, Depth of Centroid given Center of Pressure formula is defined as a method to determine the vertical position of the centroid of a submerged surface, taking into account the effects of fluid pressure and the surface area in contact with the fluid. 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 (S_W) & 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 -> 10117.29 = (1*3000+sqrt((1*3000)^2+4*3000*3.56))/(2*3000).

FAQ

What is Depth of Centroid given Center of Pressure?

Depth of Centroid given Center of Pressure formula is defined as a method to determine the vertical position of the centroid of a submerged surface, taking into account the effects of fluid pressure and the surface area in contact with the fluid and is represented as D = (h^✶*S_W+sqrt((h^✶*S_W)^2+4*S_W*I))/(2*S_W) 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 on a submerged surface where the total pressure force acts, influencing the stability and behavior of submerged objects in fluid mechanics, The Surface Area is the total area that the surface of an object occupies, influencing fluid interactions and pressure distribution in mechanical systems & The Moment of Inertia is a measure of an object's resistance to rotational motion about a specific axis, reflecting how mass is distributed relative to that axis.

How to calculate Depth of Centroid given Center of Pressure?

Depth of Centroid given Center of Pressure formula is defined as a method to determine the vertical position of the centroid of a submerged surface, taking into account the effects of fluid pressure and the surface area in contact with the fluid 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 (S_W) & 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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