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Center of Pressure Formula

GoCenter of Pressure on Inclined Plane Formula

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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. Check FAQs

h ✶ = D + \frac{I}{A w \cdot D}

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

Center of Pressure Example

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Here is how the Center of Pressure equation looks like with Values.

Here is how the Center of Pressure equation looks like with Units.

Here is how the Center of Pressure equation looks like.

100 = 45 + \frac{3.56}{14.3838 \cdot 45}

100cm = 45cm + \frac{3.56kg·m²}{14.3838m² \cdot 45cm}

100 = 45 + \frac{3.56}{14.3838 \cdot 45}

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Center of Pressure Solution

Follow our step by step solution on how to calculate Center of Pressure?

FIRST Step Consider the formula

h ✶ = D + \frac{I}{A w \cdot D}

Next Step Substitute values of Variables

∴

h ✶ = 45cm + \frac{3.56kg·m²}{14.3838m² \cdot 45cm}

Next Step Convert Units

∴

h ✶ = 0.45m + \frac{3.56kg·m²}{14.3838m² \cdot 0.45m}

Next Step Prepare to Evaluate

∴

h ✶ = 0.45 + \frac{3.56}{14.3838 \cdot 0.45}

Next Step Evaluate

∴

h ✶ = 0.999999938202254m

Next Step Convert to Output's Unit

∴

h ✶ = 99.9999938202254cm

LAST Step Rounding Answer

∴

h ✶ = 100cm

Center of Pressure Formula Elements

Variables

Center of Pressure

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.

Symbol: h^✶

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Formulas to find Center of Pressure

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.

Symbol: D

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Formulas to find Depth of Centroid

Moment of Inertia

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.

Symbol: I

Measurement: Moment of InertiaUnit: kg·m²

Note: Value can be positive or negative.

Formulas to find Moment of Inertia

Wet Surface Area

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.

Symbol: A_w

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Wet Surface Area

Other Formulas to find Center of Pressure

Go Center of Pressure on Inclined Plane

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

Other formulas in Pressure Relations category

Go Absolute Pressure at Height h

P abs = P' a + y l \cdot h a

Go Differential Pressure between Two Points

Δp = γ 1 \cdot h 1 - γ 2 \cdot h 2

Go Differential Pressure-Differential Manometer

Δp = γ 2 \cdot h 2 + γ m \cdot h m - γ 1 \cdot h 1

Go Dynamic Pressure Head-Pitot Tube

h d = \frac{{u F}^{2}}{2 \cdot g}

How to Evaluate Center of Pressure?

Center of Pressure evaluator uses Center of Pressure = Depth of Centroid+Moment of Inertia/(Wet Surface Area*Depth of Centroid) to evaluate 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 evaluate Center of Pressure using this online evaluator? To use this online evaluator for Center of Pressure, enter Depth of Centroid (D), Moment of Inertia (I) & Wet Surface Area (A_w) and hit the calculate button.

FAQs on Center of Pressure

What is the formula to find Center of Pressure?

The formula of Center of Pressure is expressed as Center of Pressure = Depth of Centroid+Moment of Inertia/(Wet Surface Area*Depth of Centroid). Here is an example- 15410.14 = 0.45+3.56/(14.38384*0.45).

How to calculate Center of Pressure?

With Depth of Centroid (D), Moment of Inertia (I) & Wet Surface Area (A_w) we can find Center of Pressure using the formula - Center of Pressure = Depth of Centroid+Moment of Inertia/(Wet Surface Area*Depth of Centroid).

What are the other ways to Calculate Center of Pressure?

Here are the different ways to Calculate Center of Pressure-

Center of Pressure=Depth of Centroid+(Moment of Inertia*sin(Angle)*sin(Angle))/(Wet Surface Area*Depth of Centroid)

Can the Center of Pressure be negative?

Yes, the Center of Pressure, measured in Length can be negative.

Which unit is used to measure Center of Pressure?

Center of Pressure is usually measured using the Centimeter[cm] for Length. Meter[cm], Millimeter[cm], Kilometer[cm] are the few other units in which Center of Pressure can be measured.

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Center of Pressure Formula

​GoCenter of Pressure on Inclined Plane Formula

Center of Pressure Example

Center of Pressure Solution

Center of Pressure Formula Elements

Other Formulas to find Center of Pressure

Other formulas in Pressure Relations category

How to Evaluate Center of Pressure?

FAQs on Center of Pressure

Variable Name

GoCenter of Pressure on Inclined Plane Formula