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Moment of Inertia of Centroid given Center of Pressure Formula

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Moment of Inertia of the section about an axis parallel to the free surface passing through the centroid of the area. Check FAQs

I = (h ✶ - D) \cdot A wet \cdot D

I - Moment of Inertia?h^✶ - Center of Pressure?D - Depth of Centroid?A_wet - Wet Surface Area?

Moment of Inertia of Centroid given Center of Pressure Example

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Here is how the Moment of Inertia of Centroid given Center of Pressure equation looks like with Values.

Here is how the Moment of Inertia of Centroid given Center of Pressure equation looks like with Units.

Here is how the Moment of Inertia of Centroid given Center of Pressure equation looks like.

0.1386 = (100 - 45) \cdot 0.56 \cdot 45

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

0.1386 = (100 - 45) \cdot 0.56 \cdot 45

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Moment of Inertia of Centroid given Center of Pressure Solution

Follow our step by step solution on how to calculate Moment of Inertia of Centroid given Center of Pressure?

FIRST Step Consider the formula

I = (h ✶ - D) \cdot A wet \cdot D

Next Step Substitute values of Variables

∴

I = (100cm - 45cm) \cdot 0.56m² \cdot 45cm

Next Step Convert Units

∴

I = (1m - 0.45m) \cdot 0.56m² \cdot 0.45m

Next Step Prepare to Evaluate

∴

I = (1 - 0.45) \cdot 0.56 \cdot 0.45

LAST Step Evaluate

∴

I = 0.1386kg·m²

Moment of Inertia of Centroid given Center of Pressure Formula Elements

Variables

Moment of Inertia

Moment of Inertia of the section about an axis parallel to the free surface passing through the centroid of the area.

Symbol: I

Measurement: Moment of InertiaUnit: kg·m²

Note: Value can be positive or negative.

Formulas to find Moment of Inertia

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.

Symbol: h^✶

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Formulas to find Center of Pressure

Depth of Centroid

Depth of Centroid below the free surface.

Symbol: D

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Formulas to find Depth of Centroid

Wet Surface Area

Wet Surface Area is the surface area of horizontal wetted plane.

Symbol: A_wet

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Wet Surface Area

Other formulas in Pressure Relations category

Go Absolute Pressure at Height h

P abs = P atm + y liquid \cdot h absolute

Go Center of Pressure on Inclined Plane

h ✶ = D + \frac{I \cdot \sin (Θ) \cdot \sin (Θ)}{A wet \cdot D}

Go Differential Pressure between Two Points

Δp = γ 1 \cdot h 1 - γ 2 \cdot h 2

Go Center of Pressure

h ✶ = D + \frac{I}{A wet \cdot D}

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

Moment of Inertia of Centroid given Center of Pressure evaluator uses Moment of Inertia = (Center of Pressure-Depth of Centroid)*Wet Surface Area*Depth of Centroid to evaluate 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 evaluate Moment of Inertia of Centroid given Center of Pressure using this online evaluator? To use this online evaluator 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.

FAQs on Moment of Inertia of Centroid given Center of Pressure

What is the formula to find Moment of Inertia of Centroid given Center of Pressure?

The formula of Moment of Inertia of Centroid given Center of Pressure is expressed as Moment of Inertia = (Center of Pressure-Depth of Centroid)*Wet Surface Area*Depth of Centroid. Here is an example- 0.12375 = (1-0.45)*0.56*0.45.

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

With Center of Pressure (h^✶), Depth of Centroid (D) & Wet Surface Area (A_wet) we can find Moment of Inertia of Centroid given Center of Pressure using the formula - Moment of Inertia = (Center of Pressure-Depth of Centroid)*Wet Surface Area*Depth of Centroid.

Can the Moment of Inertia of Centroid given Center of Pressure be negative?

Yes, the Moment of Inertia of Centroid given Center of Pressure, measured in Moment of Inertia can be negative.

Which unit is used to measure Moment of Inertia of Centroid given Center of Pressure?

Moment of Inertia of Centroid given Center of Pressure is usually measured using the Kilogram Square Meter[kg·m²] for Moment of Inertia. Kilogram Square Centimeter[kg·m²], Kilogram Square Millimeter[kg·m²], Gram Square Centimeter[kg·m²] are the few other units in which Moment of Inertia of Centroid given Center of Pressure can be measured.

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Moment of Inertia of Centroid given Center of Pressure Formula

Moment of Inertia of Centroid given Center of Pressure Example

Moment of Inertia of Centroid given Center of Pressure Solution

Moment of Inertia of Centroid given Center of Pressure Formula Elements

Other formulas in Pressure Relations category

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

FAQs on Moment of Inertia of Centroid given Center of Pressure

Variable Name