FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Center of Pressure on Inclined Plane Formula

GoCenter of Pressure Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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

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

Center of Pressure on Inclined Plane Example

With values

With units

Only example

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.

509.7635 = 45 + \frac{3.56 \cdot \sin (35) \cdot \sin (35)}{0.56 \cdot 45}

509.7635cm = 45cm + \frac{3.56kg·m² \cdot \sin (35°) \cdot \sin (35°)}{0.56m² \cdot 45cm}

509.7635 = 45 + \frac{3.56 \cdot \sin (35) \cdot \sin (35)}{0.56 \cdot 45}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Mechanical » Category

Fluid Mechanics » fx Center of Pressure on Inclined Plane

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 wet \cdot D}

Next Step Substitute values of Variables

∴

h ✶ = 45cm + \frac{3.56kg·m² \cdot \sin (35°) \cdot \sin (35°)}{0.56m² \cdot 45cm}

Next Step Convert Units

∴

h ✶ = 0.45m + \frac{3.56kg·m² \cdot \sin (0.6109rad) \cdot \sin (0.6109rad)}{0.56m² \cdot 0.45m}

Next Step Prepare to Evaluate

∴

h ✶ = 0.45 + \frac{3.56 \cdot \sin (0.6109) \cdot \sin (0.6109)}{0.56 \cdot 0.45}

Next Step Evaluate

∴

h ✶ = 5.09763549555526m

Next Step Convert to Output's Unit

∴

h ✶ = 509.763549555526cm

LAST Step Rounding Answer

∴

h ✶ = 509.7635cm

Center of Pressure on Inclined Plane Formula Elements

Variables

Functions

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

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

Angle

Angle between the inclined manometer tube and surface.

Symbol: Θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle

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

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 wet \cdot D}

Other formulas in Pressure Relations category

Go Absolute Pressure at Height h

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

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 Fluid}^{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_wet) 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- 56553.52 = 0.45+(3.56*sin(0.610865238197901)*sin(0.610865238197901))/(0.56*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_wet) 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.

Let Others Know

✖

Facebook

Twitter

Copied!

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