Resultant Force Acting on Plane Surface of Completely Submerged Plate Calculator

✖Pressure at Centroid of Surface is defined as the total pressure acting on the centroid of the surface.ⓘ Pressure at Centroid of Surface [P_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 Plane Surface of Completely Submerged Plate [F_R]

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Formula

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Resultant Force Acting on Plane Surface of Completely Submerged Plate

Formula

`"F"_{"R"} = "P"_{"c"}*"A"`

Example

`"7380N"="600Pa"*"12.3m²"`

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Resultant Force Acting on Plane Surface of Completely Submerged Plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resultant Force = Pressure at Centroid of Surface*Area of Surface
F_R = P_c*A
This formula uses 3 Variables

Variables Used

Resultant Force - (Measured in Newton) - Resultant Force is defined as the total net force of various forces acting on an object.
Pressure at Centroid of Surface - (Measured in Pascal) - Pressure at Centroid of Surface is defined as the total pressure acting on the centroid of the surface.
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

Pressure at Centroid of Surface: 600 Pascal --> 600 Pascal 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_c*A --> 600*12.3

Evaluating ... ...

F_R = 7380

STEP 3: Convert Result to Output's Unit

7380 Newton --> No Conversion Required

FINAL ANSWER

7380 Newton <-- Resultant Force

(Calculation completed in 00.004 seconds)

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Created by Ayush gupta

University School of Chemical Technology-USCT (GGSIPU), New Delhi

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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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 Plane Surface of Completely Submerged Plate Formula

Resultant Force = Pressure at Centroid of Surface*Area of Surface
F_R = P_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 Plane Surface of Completely Submerged Plate?

Resultant Force Acting on Plane Surface of Completely Submerged Plate calculator uses Resultant Force = Pressure at Centroid of Surface*Area of Surface to calculate the Resultant Force, The Resultant Force Acting on Plane Surface of Completely Submerged Plate formula is defined as the product of Pressure at centroid of surface and area of the 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 Plane Surface of Completely Submerged Plate using this online calculator? To use this online calculator for Resultant Force Acting on Plane Surface of Completely Submerged Plate, enter Pressure at Centroid of Surface (P_c) & Area of Surface (A) and hit the calculate button. Here is how the Resultant Force Acting on Plane Surface of Completely Submerged Plate calculation can be explained with given input values -> 7380 = 600*12.3.

FAQ

What is Resultant Force Acting on Plane Surface of Completely Submerged Plate?

The Resultant Force Acting on Plane Surface of Completely Submerged Plate formula is defined as the product of Pressure at centroid of surface and area of the 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_c*A or Resultant Force = Pressure at Centroid of Surface*Area of Surface. Pressure at Centroid of Surface is defined as the total pressure acting on the centroid of the surface & Area of Surface is defined as the total cross sectional area of the surface.

How to calculate Resultant Force Acting on Plane Surface of Completely Submerged Plate?

The Resultant Force Acting on Plane Surface of Completely Submerged Plate formula is defined as the product of Pressure at centroid of surface and area of the 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 = Pressure at Centroid of Surface*Area of Surface. To calculate Resultant Force Acting on Plane Surface of Completely Submerged Plate, you need Pressure at Centroid of Surface (P_c) & Area of Surface (A). With our tool, you need to enter the respective value for Pressure at Centroid of Surface & 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 Pressure at Centroid of Surface & Area of Surface. We can use 6 other way(s) to calculate the same, which is/are as follows -

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