Center of Pressure on Inclined Plane Calculator

✖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.ⓘ Depth of Centroid [D]			+10% -10%
✖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.ⓘ Moment of Inertia [I]			+10% -10%
✖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.ⓘ Angle [Θ]			+10% -10%
✖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.ⓘ Wet Surface Area [A_w]			+10% -10%

✖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.ⓘ Center of Pressure on Inclined Plane [h^✶]

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Center of Pressure on Inclined Plane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Center of Pressure = Depth of Centroid+(Moment of Inertia*sin(Angle)*sin(Angle))/(Wet Surface Area*Depth of Centroid)
h^✶ = D+(I*sin(Θ)*sin(Θ))/(A_w*D)
This formula uses 1 Functions, 5 Variables

Functions Used

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., sin(Angle)

Variables Used

Center of Pressure - (Measured in Meter) - 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.
Depth of Centroid - (Measured in Meter) - 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.
Moment of Inertia - (Measured in Kilogram Square Meter) - 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.
Angle - (Measured in Radian) - 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.
Wet Surface Area - (Measured in Square Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Depth of Centroid: 45 Centimeter --> 0.45 Meter (Check conversion here)
Moment of Inertia: 3.56 Kilogram Square Meter --> 3.56 Kilogram Square Meter No Conversion Required
Angle: 89.95976 Degree --> 1.5700940063036 Radian (Check conversion here)
Wet Surface Area: 14.38384 Square Meter --> 14.38384 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h^✶ = D+(I*sin(Θ)*sin(Θ))/(A_w*D) --> 0.45+(3.56*sin(1.5700940063036)*sin(1.5700940063036))/(14.38384*0.45)

Evaluating ... ...

h^✶ = 0.999999666912589

STEP 3: Convert Result to Output's Unit

0.999999666912589 Meter -->99.9999666912589 Centimeter (Check conversion here)

FINAL ANSWER

99.9999666912589 ≈ 99.99997 Centimeter <-- Center of Pressure

(Calculation completed in 00.004 seconds)

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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

Center of Pressure on Inclined Plane Formula

Center of Pressure = Depth of Centroid+(Moment of Inertia*sin(Angle)*sin(Angle))/(Wet Surface Area*Depth of Centroid)
h^✶ = D+(I*sin(Θ)*sin(Θ))/(A_w*D)

What is 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. The total force vector acting at the center of pressure is the value of the integrated vectorial pressure field.

How to Calculate Center of Pressure on Inclined Plane?

Center of Pressure on Inclined Plane calculator uses Center of Pressure = Depth of Centroid+(Moment of Inertia*sin(Angle)*sin(Angle))/(Wet Surface Area*Depth of Centroid) to calculate 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 calculate Center of Pressure on Inclined Plane using this online calculator? To use this online calculator 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. Here is how the Center of Pressure on Inclined Plane calculation can be explained with given input values -> 9999.999 = 0.45+(3.56*sin(1.5700940063036)*sin(1.5700940063036))/(14.38384*0.45).

FAQ

What is Center of Pressure on Inclined Plane?

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 and is represented as h^✶ = D+(I*sin(Θ)*sin(Θ))/(A_w*D) or Center of Pressure = Depth of Centroid+(Moment of Inertia*sin(Angle)*sin(Angle))/(Wet Surface Area*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, 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, 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 & 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.

How to calculate Center of Pressure on Inclined Plane?

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 is calculated using Center of Pressure = Depth of Centroid+(Moment of Inertia*sin(Angle)*sin(Angle))/(Wet Surface Area*Depth of Centroid). To calculate Center of Pressure on Inclined Plane, you need Depth of Centroid (D), Moment of Inertia (I), Angle (Θ) & Wet Surface Area (A_w). With our tool, you need to enter the respective value for Depth of Centroid, Moment of Inertia, Angle & Wet Surface Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Center of Pressure?

In this formula, Center of Pressure uses Depth of Centroid, Moment of Inertia, Angle & Wet Surface Area. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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