Center of Pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Center of Pressure = Depth of Centroid+Moment of Inertia/(Wet Surface Area*Depth of Centroid)
h = D+I/(Aw*D)
This formula uses 4 Variables
Variables Used
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.
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.
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.
Wet Surface Area - (Measured in Square Meter) - The Wet Surface Area is the total area of a surface that is in contact with a fluid, influencing pressure and flow characteristics in fluid mechanics.
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
Wet Surface Area: 14.38384 Square Meter --> 14.38384 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = D+I/(Aw*D) --> 0.45+3.56/(14.38384*0.45)
Evaluating ... ...
h = 0.999999938202254
STEP 3: Convert Result to Output's Unit
0.999999938202254 Meter -->99.9999938202254 Centimeter (Check conversion ​here)
FINAL ANSWER
99.9999938202254 99.99999 Centimeter <-- Center of Pressure
(Calculation completed in 00.020 seconds)

Credits

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Created by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 1000+ more calculators!
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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

Center of Pressure Formula

​Go
Center of Pressure = Depth of Centroid+Moment of Inertia/(Wet Surface Area*Depth of Centroid)
h = D+I/(Aw*D)

What is 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?

Center of Pressure calculator uses Center of Pressure = Depth of Centroid+Moment of Inertia/(Wet Surface Area*Depth of Centroid) to calculate the Center of Pressure, Center of Pressure formula is defined as a method to determine the point at which the total pressure force acts on a submerged surface. This concept is crucial in fluid mechanics, as it influences the stability and design of structures interacting with fluid environments. Center of Pressure is denoted by h symbol.

How to calculate Center of Pressure using this online calculator? To use this online calculator for Center of Pressure, enter Depth of Centroid (D), Moment of Inertia (I) & Wet Surface Area (Aw) and hit the calculate button. Here is how the Center of Pressure calculation can be explained with given input values -> 15410.14 = 0.45+3.56/(14.38384*0.45).

FAQ

What is Center of Pressure?
Center of Pressure formula is defined as a method to determine the point at which the total pressure force acts on a submerged surface. This concept is crucial in fluid mechanics, as it influences the stability and design of structures interacting with fluid environments and is represented as h = D+I/(Aw*D) or Center of Pressure = Depth of Centroid+Moment of Inertia/(Wet Surface Area*Depth of Centroid). 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, 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 & The Wet Surface Area is the total area of a surface that is in contact with a fluid, influencing pressure and flow characteristics in fluid mechanics.
How to calculate Center of Pressure?
Center of Pressure formula is defined as a method to determine the point at which the total pressure force acts on a submerged surface. This concept is crucial in fluid mechanics, as it influences the stability and design of structures interacting with fluid environments is calculated using Center of Pressure = Depth of Centroid+Moment of Inertia/(Wet Surface Area*Depth of Centroid). To calculate Center of Pressure, you need Depth of Centroid (D), Moment of Inertia (I) & Wet Surface Area (Aw). With our tool, you need to enter the respective value for Depth of Centroid, Moment of Inertia & 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 & 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*sin(Angle)*sin(Angle))/(Wet Surface Area*Depth of Centroid)
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