Moment of Inertia 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 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 [D]			+10% -10%
✖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.ⓘ Wet Surface Area [A_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 of Centroid given Center of Pressure [I]

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Moment of Inertia of Centroid given Center of Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia = (Center of Pressure-Depth of Centroid)*Wet Surface Area*Depth of Centroid
I = (h^✶-D)*A_w*D
This formula uses 4 Variables

Variables Used

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.
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.
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

Center of Pressure: 100 Centimeter --> 1 Meter (Check conversion here)
Depth of Centroid: 45 Centimeter --> 0.45 Meter (Check conversion here)
Wet Surface Area: 14.38384 Square Meter --> 14.38384 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = (h^✶-D)*A_w*D --> (1-0.45)*14.38384*0.45

Evaluating ... ...

I = 3.5600004

STEP 3: Convert Result to Output's Unit

3.5600004 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

3.5600004 ≈ 3.56 Kilogram Square Meter <-- Moment of Inertia

(Calculation completed in 00.004 seconds)

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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

Moment of Inertia of Centroid given Center of Pressure Formula

LaTeX Go

Moment of Inertia = (Center of Pressure-Depth of Centroid)*Wet Surface Area*Depth of Centroid
I = (h^✶-D)*A_w*D

Define Moment of Inertia?

The moment of inertia, otherwise known as the mass moment of inertia, angular mass or rotational inertia, of a rigid body is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis; similar to how mass determines the force needed for a desired acceleration. It depends on the body's mass distribution and the axis chosen, with larger moments requiring more torque to change the body's rate of rotation.

How to Calculate Moment of Inertia of Centroid given Center of Pressure?

Moment of Inertia of Centroid given Center of Pressure calculator uses Moment of Inertia = (Center of Pressure-Depth of Centroid)*Wet Surface Area*Depth of Centroid to calculate the Moment of Inertia, Moment of Inertia of Centroid given Center of Pressure formula is defined as a measure of an object's resistance to rotational motion about an axis, considering the distribution of area and the distance from the centroid to the center of pressure in fluid mechanics applications. Moment of Inertia is denoted by I symbol.

How to calculate Moment of Inertia of Centroid given Center of Pressure using this online calculator? To use this online calculator for Moment of Inertia of Centroid given Center of Pressure, enter Center of Pressure (h^✶), Depth of Centroid (D) & Wet Surface Area (A_w) and hit the calculate button. Here is how the Moment of Inertia of Centroid given Center of Pressure calculation can be explained with given input values -> -7.014588 = (1-0.45)*14.38384*0.45.

FAQ

What is Moment of Inertia of Centroid given Center of Pressure?

Moment of Inertia of Centroid given Center of Pressure formula is defined as a measure of an object's resistance to rotational motion about an axis, considering the distribution of area and the distance from the centroid to the center of pressure in fluid mechanics applications and is represented as I = (h^✶-D)*A_w*D or Moment of Inertia = (Center of Pressure-Depth of Centroid)*Wet Surface Area*Depth of Centroid. 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 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 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 Moment of Inertia of Centroid given Center of Pressure?

Moment of Inertia of Centroid given Center of Pressure formula is defined as a measure of an object's resistance to rotational motion about an axis, considering the distribution of area and the distance from the centroid to the center of pressure in fluid mechanics applications is calculated using Moment of Inertia = (Center of Pressure-Depth of Centroid)*Wet Surface Area*Depth of Centroid. To calculate Moment of Inertia of Centroid given Center of Pressure, you need Center of Pressure (h^✶), Depth of Centroid (D) & Wet Surface Area (A_w). With our tool, you need to enter the respective value for Center of Pressure, Depth of Centroid & Wet Surface Area 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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