Resultant Force Acting on Completely Submerged Plate given Intersecting Angle 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%
✖Distance of the Centroid from X-Axis is defined as the total distance of the centroid from the x-axis.ⓘ Distance of the Centroid from X-Axis [y_c]			+10% -10%
✖Intersecting Angle is defined as angle at which the top surface of the plate and the horizontal free surface intersects.ⓘ Intersecting Angle [θ_Intersect]			+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 Intersecting Angle [F_R]

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Resultant Force Acting on Completely Submerged Plate given Intersecting Angle

Formula

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

Example

`"1.2E^6N"=("101325Pa"+("1.225kg/m³"*"[g]"*"1.96m"*sin("30°")))*("12.3m²")`

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Resultant Force Acting on Completely Submerged Plate given Intersecting Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resultant Force = (Absolute Pressure above Liquid+(Density of Fluid*[g]*Distance of the Centroid from X-Axis*sin(Intersecting Angle)))*(Area of Surface)
F_R = (P_o+(ρ_Fluid*[g]*y_c*sin(θ_Intersect)))*(A)
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

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

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

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.
Distance of the Centroid from X-Axis - (Measured in Meter) - Distance of the Centroid from X-Axis is defined as the total distance of the centroid from the x-axis.
Intersecting Angle - (Measured in Radian) - Intersecting Angle is defined as angle at which the top surface of the plate and the horizontal free surface intersects.
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
Distance of the Centroid from X-Axis: 1.96 Meter --> 1.96 Meter No Conversion Required
Intersecting Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
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]*y_c*sin(θ_Intersect)))*(A) --> (101325+(1.225*[g]*1.96*sin(0.5235987755982)))*(12.3)

Evaluating ... ...

F_R = 1246442.3064649

STEP 3: Convert Result to Output's Unit

1246442.3064649 Newton --> No Conversion Required

FINAL ANSWER

1246442.3064649 ≈ 1.2E+6 Newton <-- Resultant Force

(Calculation completed in 00.020 seconds)

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Created by Ayush gupta

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

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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 Intersecting Angle Formula

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 Intersecting Angle?

Resultant Force Acting on Completely Submerged Plate given Intersecting Angle calculator uses Resultant Force = (Absolute Pressure above Liquid+(Density of Fluid*[g]*Distance of the Centroid from X-Axis*sin(Intersecting Angle)))*(Area of Surface) to calculate the Resultant Force, The Resultant Force Acting on Completely Submerged Plate given Intersecting Angle formula is defined as the function of Absolute Pressure above the liquid film, density of fluid, gravitational acceleration, distance of centroid, intersecting angle 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 Intersecting Angle using this online calculator? To use this online calculator for Resultant Force Acting on Completely Submerged Plate given Intersecting Angle, enter Absolute Pressure above Liquid (P_o), Density of Fluid (ρ_Fluid), Distance of the Centroid from X-Axis (y_c), Intersecting Angle (θ_Intersect) & Area of Surface (A) and hit the calculate button. Here is how the Resultant Force Acting on Completely Submerged Plate given Intersecting Angle calculation can be explained with given input values -> 1.2E+6 = (101325+(1.225*[g]*1.96*sin(0.5235987755982)))*(12.3).

FAQ

What is Resultant Force Acting on Completely Submerged Plate given Intersecting Angle?

The Resultant Force Acting on Completely Submerged Plate given Intersecting Angle formula is defined as the function of Absolute Pressure above the liquid film, density of fluid, gravitational acceleration, distance of centroid, intersecting angle 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]*y_c*sin(θ_Intersect)))*(A) or Resultant Force = (Absolute Pressure above Liquid+(Density of Fluid*[g]*Distance of the Centroid from X-Axis*sin(Intersecting Angle)))*(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, Distance of the Centroid from X-Axis is defined as the total distance of the centroid from the x-axis, Intersecting Angle is defined as angle at which the top surface of the plate and the horizontal free surface intersects & 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 Intersecting Angle?

The Resultant Force Acting on Completely Submerged Plate given Intersecting Angle formula is defined as the function of Absolute Pressure above the liquid film, density of fluid, gravitational acceleration, distance of centroid, intersecting angle 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]*Distance of the Centroid from X-Axis*sin(Intersecting Angle)))*(Area of Surface). To calculate Resultant Force Acting on Completely Submerged Plate given Intersecting Angle, you need Absolute Pressure above Liquid (P_o), Density of Fluid (ρ_Fluid), Distance of the Centroid from X-Axis (y_c), Intersecting Angle (θ_Intersect) & Area of Surface (A). With our tool, you need to enter the respective value for Absolute Pressure above Liquid, Density of Fluid, Distance of the Centroid from X-Axis, Intersecting Angle & 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, Distance of the Centroid from X-Axis, Intersecting Angle & 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]*Vertical Distance of Centroid))*(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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