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*SAWetted+sqrt((h*SAWetted)^2+4*SAWetted*I))/(2*SAWetted)
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*SAWetted+sqrt((h*SAWetted)^2+4*SAWetted*I))/(2*SAWetted) --> (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 00.004 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)

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*SAWetted+sqrt((h*SAWetted)^2+4*SAWetted*I))/(2*SAWetted)

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 (SAWetted) & 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*SAWetted+sqrt((h*SAWetted)^2+4*SAWetted*I))/(2*SAWetted) 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 (SAWetted) & 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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