Moment of Inertia 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%
✖Depth of Centroid below the free surface.ⓘ Depth of Centroid [D]			+10% -10%
✖Wet Surface Area is the surface area of horizontal wetted plane.ⓘ Wet Surface Area [A_wet]			+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 of Centroid given Center of Pressure [I]

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Formula

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Moment of Inertia of Centroid given Center of Pressure

Formula

I = (h ✶ - D) \cdot A wet \cdot D

Example

0.1386 kg·m² = (100 cm - 45 cm) \cdot 0.56 m² \cdot 45 cm

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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_wet*D
This formula uses 4 Variables

Variables Used

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.
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.
Depth of Centroid - (Measured in Meter) - Depth of Centroid below the free surface.
Wet Surface Area - (Measured in Square Meter) - Wet Surface Area is the surface area of horizontal wetted plane.

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: 0.56 Square Meter --> 0.56 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = (h^✶-D)*A_wet*D --> (1-0.45)*0.56*0.45

Evaluating ... ...

I = 0.1386

STEP 3: Convert Result to Output's Unit

0.1386 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

0.1386 Kilogram Square Meter <-- Moment of Inertia

(Calculation completed in 00.004 seconds)

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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

Moment of Inertia of Centroid given Center of Pressure Formula

Moment of Inertia = (Center of Pressure-Depth of Centroid)*Wet Surface Area*Depth of Centroid
I = (h^✶-D)*A_wet*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, The Moment of Inertia of Centroid given Center of Pressure formula is defined as the quantity that determines the torque needed for a desired angular acceleration about a rotational axis. 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_wet) 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 -> 0.12375 = (1-0.45)*0.56*0.45.

FAQ

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

The Moment of Inertia of Centroid given Center of Pressure formula is defined as the quantity that determines the torque needed for a desired angular acceleration about a rotational axis and is represented as I = (h^✶-D)*A_wet*D or Moment of Inertia = (Center of Pressure-Depth of Centroid)*Wet Surface Area*Depth of Centroid. 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, Depth of Centroid below the free surface & Wet Surface Area is the surface area of horizontal wetted plane.

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

The Moment of Inertia of Centroid given Center of Pressure formula is defined as the quantity that determines the torque needed for a desired angular acceleration about a rotational axis 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_wet). 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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