Resultant Force Acting on Completely Submerged Plate given Vertical Distance of Centroid Calculator

✖Absolute Pressure above Liquid is defined as the absolute pressure exerted by the atmosphere above the liquid surface.ⓘ Absolute Pressure above Liquid [P_o]			+10% -10%
✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid [ρ_Fluid]			+10% -10%
✖Vertical Distance of Centroid is defined as the vertical distance of the centroid from the free surface of the liquid.ⓘ Vertical Distance of Centroid [h_c]			+10% -10%
✖Area of Surface is defined as the total cross sectional area of the surface.ⓘ Area of Surface [A]			+10% -10%

✖Resultant Force is defined as the total net force of various forces acting on an object.ⓘ Resultant Force Acting on Completely Submerged Plate given Vertical Distance of Centroid [F_R]

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Resultant Force Acting on Completely Submerged Plate given Vertical Distance of Centroid

Formula

`"F"_{"R"} = ("P"_{"o"}+("ρ"_{"Fluid"}*"[g]"*"h"_{"c"}))*("A")`

Example

`"1.2E^6N"=("101325Pa"+("1.225kg/m³"*"[g]"*"5.53m"))*("12.3m²")`

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Resultant Force Acting on Completely Submerged Plate given Vertical Distance of Centroid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resultant Force = (Absolute Pressure above Liquid+(Density of Fluid*[g]*Vertical Distance of Centroid))*(Area of Surface)
F_R = (P_o+(ρ_Fluid*[g]*h_c))*(A)
This formula uses 1 Constants, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Resultant Force - (Measured in Newton) - Resultant Force is defined as the total net force of various forces acting on an object.
Absolute Pressure above Liquid - (Measured in Pascal) - Absolute Pressure above Liquid is defined as the absolute pressure exerted by the atmosphere above the liquid surface.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.
Vertical Distance of Centroid - (Measured in Meter) - Vertical Distance of Centroid is defined as the vertical distance of the centroid from the free surface of the liquid.
Area of Surface - (Measured in Square Meter) - Area of Surface is defined as the total cross sectional area of the surface.

STEP 1: Convert Input(s) to Base Unit

Absolute Pressure above Liquid: 101325 Pascal --> 101325 Pascal No Conversion Required
Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Vertical Distance of Centroid: 5.53 Meter --> 5.53 Meter No Conversion Required
Area of Surface: 12.3 Square Meter --> 12.3 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_R = (P_o+(ρ_Fluid*[g]*h_c))*(A) --> (101325+(1.225*[g]*5.53))*(12.3)

Evaluating ... ...

F_R = 1247114.62219478

STEP 3: Convert Result to Output's Unit

1247114.62219478 Newton --> No Conversion Required

FINAL ANSWER

1247114.62219478 ≈ 1.2E+6 Newton <-- Resultant Force

(Calculation completed in 00.004 seconds)

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< 10+ Hydrostatic Forces on Surfaces Calculators

Resultant Force Acting on Completely Submerged Rectangular Flat Plate

Go Resultant Force = (Absolute Pressure above Liquid+(Density of Fluid*[g]*(Distance of Top Edge from Free Surface+(Height of Rectangular Plate/2))*sin(Tilt Angle)))*(Width of Rectangular Plate*Height of Rectangular Plate)

Resultant Force Acting on Completely Submerged Plate given Intersecting Angle

Go Resultant Force = (Absolute Pressure above Liquid+(Density of Fluid*[g]*Distance of the Centroid from X-Axis*sin(Intersecting Angle)))*(Area of Surface)

Resultant Force Acting on Horizontal Rectangular Surface

Go Resultant Force = (Absolute Pressure above Liquid+(Density of Fluid*[g]*Vertical Distance of Point from Free Surface))*(Width of Rectangular Plate*Height of Rectangular Plate)

Absolute Pressure at any Point on Submerged Plate given Intersecting Angle

Go Absolute Pressure at any Point on Plate = Absolute Pressure above Liquid+(Density of Fluid*[g]*Distance of the Point from X-Axis*sin(Intersecting Angle))

Resultant Force Acting on Completely Submerged Plate given Vertical Distance of Centroid

Go Resultant Force = (Absolute Pressure above Liquid+(Density of Fluid*[g]*Vertical Distance of Centroid))*(Area of Surface)

Absolute Pressure at any Point on Submerged Plate

Go Absolute Pressure at any Point on Plate = Absolute Pressure above Liquid+(Density of Fluid*[g]*Vertical Distance of Point from Free Surface)

Magnitude of Resultant Hydrostatic Force Acting on Curved Surface

Go Resultant Force = sqrt((Horizontal Component of Force^2)+(Vertical Component of Force^2))

Resultant Force Acting on Plane Surface of Completely Submerged Plate

Go Resultant Force = Pressure at Centroid of Surface*Area of Surface

Resultant Force Acting on Plane Surface of Completely Submerged Plate given Average Pressure

Go Resultant Force = Average Pressure on Surface*Area of Surface

Average Pressure given Resultant Force

Go Average Pressure on Surface = Resultant Force/Area of Surface

Resultant Force Acting on Completely Submerged Plate given Vertical Distance of Centroid Formula

Resultant Force = (Absolute Pressure above Liquid+(Density of Fluid*[g]*Vertical Distance of Centroid))*(Area of Surface)
F_R = (P_o+(ρ_Fluid*[g]*h_c))*(A)

What is Fluid Mechanics?

Fluid dynamics is “the branch of applied science that is concerned with the movement of liquids and gases”. It involves a wide range of applications such as calculating force & moments, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space, and modelling fission weapon detonation.

What is Hydrostatic Pressure?

Hydrostatic pressure is defined as “The pressure exerted by a fluid at equilibrium at any point of time due to the force of gravity”. Hydrostatic pressure is proportional to the depth measured from the surface as the weight of the fluid increases when a downward force is applied. The fluid pressure can be caused by gravity, acceleration or forces when in a closed container. Consider a layer of water from the top of the bottle. There is the pressure exerted by the layer of water acting on the sides of the bottle. As we move down from the top of the bottle to the bottom, the pressure exerted by the top layer on the bottom adds up. This phenomenon is responsible for more pressure at the bottom of the container.

How to Calculate Resultant Force Acting on Completely Submerged Plate given Vertical Distance of Centroid?

Resultant Force Acting on Completely Submerged Plate given Vertical Distance of Centroid calculator uses Resultant Force = (Absolute Pressure above Liquid+(Density of Fluid*[g]*Vertical Distance of Centroid))*(Area of Surface) to calculate the Resultant Force, The Resultant Force Acting on Completely Submerged Plate given Vertical Distance of Centroid formula is defined as the function of Absolute Pressure above the liquid film, density of fluid, gravitational acceleration, vertical distance of centroid of plate and Area of Surface. The magnitude of the resultant force acting on a plane surface of a completely submerged plate in a homogeneous (constant density) fluid is equal to the product of the pressure Pc at the centroid of the surface and the area A of the surface. Resultant Force is denoted by F_R symbol.

How to calculate Resultant Force Acting on Completely Submerged Plate given Vertical Distance of Centroid using this online calculator? To use this online calculator for Resultant Force Acting on Completely Submerged Plate given Vertical Distance of Centroid, enter Absolute Pressure above Liquid (P_o), Density of Fluid (ρ_Fluid), Vertical Distance of Centroid (h_c) & Area of Surface (A) and hit the calculate button. Here is how the Resultant Force Acting on Completely Submerged Plate given Vertical Distance of Centroid calculation can be explained with given input values -> 1.2E+6 = (101325+(1.225*[g]*5.53))*(12.3).

FAQ

What is Resultant Force Acting on Completely Submerged Plate given Vertical Distance of Centroid?

The Resultant Force Acting on Completely Submerged Plate given Vertical Distance of Centroid formula is defined as the function of Absolute Pressure above the liquid film, density of fluid, gravitational acceleration, vertical distance of centroid of plate and Area of Surface. The magnitude of the resultant force acting on a plane surface of a completely submerged plate in a homogeneous (constant density) fluid is equal to the product of the pressure Pc at the centroid of the surface and the area A of the surface and is represented as F_R = (P_o+(ρ_Fluid*[g]*h_c))*(A) or Resultant Force = (Absolute Pressure above Liquid+(Density of Fluid*[g]*Vertical Distance of Centroid))*(Area of Surface). Absolute Pressure above Liquid is defined as the absolute pressure exerted by the atmosphere above the liquid surface, Density of Fluid is defined as the mass of fluid per unit volume of the said fluid, Vertical Distance of Centroid is defined as the vertical distance of the centroid from the free surface of the liquid & Area of Surface is defined as the total cross sectional area of the surface.

How to calculate Resultant Force Acting on Completely Submerged Plate given Vertical Distance of Centroid?

The Resultant Force Acting on Completely Submerged Plate given Vertical Distance of Centroid formula is defined as the function of Absolute Pressure above the liquid film, density of fluid, gravitational acceleration, vertical distance of centroid of plate and Area of Surface. The magnitude of the resultant force acting on a plane surface of a completely submerged plate in a homogeneous (constant density) fluid is equal to the product of the pressure Pc at the centroid of the surface and the area A of the surface is calculated using Resultant Force = (Absolute Pressure above Liquid+(Density of Fluid*[g]*Vertical Distance of Centroid))*(Area of Surface). To calculate Resultant Force Acting on Completely Submerged Plate given Vertical Distance of Centroid, you need Absolute Pressure above Liquid (P_o), Density of Fluid (ρ_Fluid), Vertical Distance of Centroid (h_c) & Area of Surface (A). With our tool, you need to enter the respective value for Absolute Pressure above Liquid, Density of Fluid, Vertical Distance of Centroid & Area of Surface 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 Resultant Force?

In this formula, Resultant Force uses Absolute Pressure above Liquid, Density of Fluid, Vertical Distance of Centroid & Area of Surface. We can use 6 other way(s) to calculate the same, which is/are as follows -

Resultant Force = Pressure at Centroid of Surface*Area of Surface
Resultant Force = (Absolute Pressure above Liquid+(Density of Fluid*[g]*Distance of the Centroid from X-Axis*sin(Intersecting Angle)))*(Area of Surface)
Resultant Force = (Absolute Pressure above Liquid+(Density of Fluid*[g]*(Distance of Top Edge from Free Surface+(Height of Rectangular Plate/2))*sin(Tilt Angle)))*(Width of Rectangular Plate*Height of Rectangular Plate)
Resultant Force = (Absolute Pressure above Liquid+(Density of Fluid*[g]*Vertical Distance of Point from Free Surface))*(Width of Rectangular Plate*Height of Rectangular Plate)
Resultant Force = sqrt((Horizontal Component of Force^2)+(Vertical Component of Force^2))
Resultant Force = Average Pressure on Surface*Area of Surface

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