Resultant Force Acting on Completely Submerged Rectangular Flat Plate 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 Top Edge from Free Surface is defined as the distance of top edge from the free surface along the plane of the plate.ⓘ Distance of Top Edge from Free Surface [s]			+10% -10%
✖Height of Rectangular Plate is defined as the length of height of the rectangular plate.ⓘ Height of Rectangular Plate [b]			+10% -10%
✖Tilt Angle is defined as the angle at which rectangular plane is tilted.ⓘ Tilt Angle [θ_T]			+10% -10%
✖Width of Rectangular Plate is defined as the length of width of rectangular plate.ⓘ Width of Rectangular Plate [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 Rectangular Flat Plate [F_R]

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Resultant Force Acting on Completely Submerged Rectangular Flat Plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
F_R = (P_o+(ρ_Fluid*[g]*(s+(b/2))*sin(θ_T)))*(a*b)
This formula uses 1 Constants, 1 Functions, 7 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 Top Edge from Free Surface - (Measured in Meter) - Distance of Top Edge from Free Surface is defined as the distance of top edge from the free surface along the plane of the plate.
Height of Rectangular Plate - (Measured in Meter) - Height of Rectangular Plate is defined as the length of height of the rectangular plate.
Tilt Angle - (Measured in Radian) - Tilt Angle is defined as the angle at which rectangular plane is tilted.
Width of Rectangular Plate - (Measured in Meter) - Width of Rectangular Plate is defined as the length of width of rectangular plate.

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 Top Edge from Free Surface: 5.2 Meter --> 5.2 Meter No Conversion Required
Height of Rectangular Plate: 6.3 Meter --> 6.3 Meter No Conversion Required
Tilt Angle: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Width of Rectangular Plate: 3.6 Meter --> 3.6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_R = (P_o+(ρ_Fluid*[g]*(s+(b/2))*sin(θ_T)))*(a*b) --> (101325+(1.225*[g]*(5.2+(6.3/2))*sin(0.785398163397301)))*(3.6*6.3)

Evaluating ... ...

F_R = 2299659.68603658

STEP 3: Convert Result to Output's Unit

2299659.68603658 Newton --> No Conversion Required

FINAL ANSWER

2299659.68603658 ≈ 2.3E+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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< Hydrostatic Forces on Surfaces Calculators

Absolute Pressure at any Point on Submerged Plate given Intersecting Angle

LaTeX 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))

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LaTeX 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

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

Resultant Force Acting on Plane Surface of Completely Submerged Plate

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

Resultant Force Acting on Completely Submerged Rectangular Flat Plate Formula

LaTeX Go

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 Rectangular Flat Plate?

Resultant Force Acting on Completely Submerged Rectangular Flat Plate calculator uses 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) to calculate the Resultant Force, The Resultant Force Acting on Completely Submerged Rectangular Flat Plate formula is defined as the function of Absolute Pressure above the Liquid, Density of Fluid, gravitational acceleration, Distance of Top Edge from Free Surface, Height of Rectangular Plate, Tilt Angle and Width of Rectangular Plate. Resultant Force is denoted by F_R symbol.

How to calculate Resultant Force Acting on Completely Submerged Rectangular Flat Plate using this online calculator? To use this online calculator for Resultant Force Acting on Completely Submerged Rectangular Flat Plate, enter Absolute Pressure above Liquid (P_o), Density of Fluid (ρ_Fluid), Distance of Top Edge from Free Surface (s), Height of Rectangular Plate (b), Tilt Angle (θ_T) & Width of Rectangular Plate (a) and hit the calculate button. Here is how the Resultant Force Acting on Completely Submerged Rectangular Flat Plate calculation can be explained with given input values -> 2.3E+6 = (101325+(1.225*[g]*(5.2+(6.3/2))*sin(0.785398163397301)))*(3.6*6.3).

FAQ

What is Resultant Force Acting on Completely Submerged Rectangular Flat Plate?

The Resultant Force Acting on Completely Submerged Rectangular Flat Plate formula is defined as the function of Absolute Pressure above the Liquid, Density of Fluid, gravitational acceleration, Distance of Top Edge from Free Surface, Height of Rectangular Plate, Tilt Angle and Width of Rectangular Plate and is represented as F_R = (P_o+(ρ_Fluid*[g]*(s+(b/2))*sin(θ_T)))*(a*b) or 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). 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 Top Edge from Free Surface is defined as the distance of top edge from the free surface along the plane of the plate, Height of Rectangular Plate is defined as the length of height of the rectangular plate, Tilt Angle is defined as the angle at which rectangular plane is tilted & Width of Rectangular Plate is defined as the length of width of rectangular plate.

How to calculate Resultant Force Acting on Completely Submerged Rectangular Flat Plate?

The Resultant Force Acting on Completely Submerged Rectangular Flat Plate formula is defined as the function of Absolute Pressure above the Liquid, Density of Fluid, gravitational acceleration, Distance of Top Edge from Free Surface, Height of Rectangular Plate, Tilt Angle and Width of Rectangular Plate is calculated using 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). To calculate Resultant Force Acting on Completely Submerged Rectangular Flat Plate, you need Absolute Pressure above Liquid (P_o), Density of Fluid (ρ_Fluid), Distance of Top Edge from Free Surface (s), Height of Rectangular Plate (b), Tilt Angle (θ_T) & Width of Rectangular Plate (a). With our tool, you need to enter the respective value for Absolute Pressure above Liquid, Density of Fluid, Distance of Top Edge from Free Surface, Height of Rectangular Plate, Tilt Angle & Width of Rectangular Plate 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 Top Edge from Free Surface, Height of Rectangular Plate, Tilt Angle & Width of Rectangular Plate. We can use 3 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 the Centroid from X-Axis*sin(Intersecting Angle)))*(Area of Surface)

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