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Center 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 \cdot \sin (Θ) \cdot \sin (Θ)}{A w \cdot D}

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

Center of Pressure on Inclined Plane Example

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

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

Here is how the Center of Pressure on Inclined Plane equation looks like.

100 = 45 + \frac{3.56 \cdot \sin (89.9598) \cdot \sin (89.9598)}{14.3838 \cdot 45}

100cm = 45cm + \frac{3.56kg·m² \cdot \sin (89.9598°) \cdot \sin (89.9598°)}{14.3838m² \cdot 45cm}

100 = 45 + \frac{3.56 \cdot \sin (89.9598) \cdot \sin (89.9598)}{14.3838 \cdot 45}

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Center of Pressure on Inclined Plane Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h ✶ = 45cm + \frac{3.56kg·m² \cdot \sin (89.9598°) \cdot \sin (89.9598°)}{14.3838m² \cdot 45cm}

Next Step Convert Units

∴

h ✶ = 0.45m + \frac{3.56kg·m² \cdot \sin (1.5701rad) \cdot \sin (1.5701rad)}{14.3838m² \cdot 0.45m}

Next Step Prepare to Evaluate

∴

h ✶ = 0.45 + \frac{3.56 \cdot \sin (1.5701) \cdot \sin (1.5701)}{14.3838 \cdot 0.45}

Next Step Evaluate

∴

h ✶ = 0.999999666912589m

Next Step Convert to Output's Unit

∴

h ✶ = 99.9999666912589cm

LAST Step Rounding Answer

∴

h ✶ = 100cm

Center of Pressure on Inclined Plane Formula Elements

Variables

Functions

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

Angle

The Angle is the measure of the inclination between two intersecting lines or surfaces, which is crucial in understanding fluid behavior and pressure relationships in mechanical systems.

Symbol: Θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Center of Pressure

Go Center of Pressure

h ✶ = D + \frac{I}{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 on Inclined Plane?

Center of Pressure on Inclined Plane evaluator uses Center of Pressure = Depth of Centroid+(Moment of Inertia*sin(Angle)*sin(Angle))/(Wet Surface Area*Depth of Centroid) to evaluate the Center of Pressure, Center of Pressure on Inclined Plane formula is defined as a method to determine the location of the resultant pressure force acting on a submerged inclined surface. It accounts for the depth of the fluid and the angle of inclination, providing insights into fluid behavior on surfaces. Center of Pressure is denoted by h^✶ symbol.

How to evaluate Center of Pressure on Inclined Plane using this online evaluator? To use this online evaluator for Center of Pressure on Inclined Plane, enter Depth of Centroid (D), Moment of Inertia (I), Angle (Θ) & Wet Surface Area (A_w) and hit the calculate button.

FAQs on Center of Pressure on Inclined Plane

What is the formula to find Center of Pressure on Inclined Plane?

The formula of Center of Pressure on Inclined Plane is expressed as Center of Pressure = Depth of Centroid+(Moment of Inertia*sin(Angle)*sin(Angle))/(Wet Surface Area*Depth of Centroid). Here is an example- 9999.999 = 0.45+(3.56*sin(1.5700940063036)*sin(1.5700940063036))/(14.38384*0.45).

How to calculate Center of Pressure on Inclined Plane?

With Depth of Centroid (D), Moment of Inertia (I), Angle (Θ) & Wet Surface Area (A_w) we can find Center of Pressure on Inclined Plane using the formula - Center of Pressure = Depth of Centroid+(Moment of Inertia*sin(Angle)*sin(Angle))/(Wet Surface Area*Depth of Centroid). This formula also uses Sine (sin) function(s).

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/(Wet Surface Area*Depth of Centroid)

Can the Center of Pressure on Inclined Plane be negative?

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

Which unit is used to measure Center of Pressure on Inclined Plane?

Center of Pressure on Inclined Plane 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 on Inclined Plane can be measured.

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Center of Pressure on Inclined Plane Formula

​GoCenter of Pressure Formula

Center of Pressure on Inclined Plane Example

Center of Pressure on Inclined Plane Solution

Center of Pressure on Inclined Plane Formula Elements

Other Formulas to find Center of Pressure

Other formulas in Pressure Relations category

How to Evaluate Center of Pressure on Inclined Plane?

FAQs on Center of Pressure on Inclined Plane

Variable Name

GoCenter of Pressure Formula