Resultant Force Acting on Horizontal Rectangular Surface Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
FR = (Po+(ρFluid*[g]*h))*(a*b)
This formula uses 1 Constants, 6 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 Point from Free Surface - (Measured in Meter) - Vertical Distance of Point from Free Surface is defined as the distance between the point and the free surface.
Width of Rectangular Plate - (Measured in Meter) - Width of Rectangular Plate is defined as the length of width of rectangular plate.
Height of Rectangular Plate - (Measured in Meter) - Height of Rectangular Plate is defined as the length of height of the 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
Vertical Distance of Point from Free Surface: 4.5 Meter --> 4.5 Meter No Conversion Required
Width of Rectangular Plate: 3.6 Meter --> 3.6 Meter No Conversion Required
Height of Rectangular Plate: 6.3 Meter --> 6.3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
FR = (Po+(ρFluid*[g]*h))*(a*b) --> (101325+(1.225*[g]*4.5))*(3.6*6.3)
Evaluating ... ...
FR = 2299277.06170628
STEP 3: Convert Result to Output's Unit
2299277.06170628 Newton --> No Conversion Required
FINAL ANSWER
2299277.06170628 2.3E+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 Horizontal Rectangular Surface Formula

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)
FR = (Po+(ρFluid*[g]*h))*(a*b)

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 Horizontal Rectangular Surface?

Resultant Force Acting on Horizontal Rectangular Surface calculator uses 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) to calculate the Resultant Force, The Resultant Force Acting on Horizontal Rectangular Surface formula is defined as the function of Absolute Pressure above the Liquid, Density of Fluid, gravitational acceleration, vertical distance from free surface, Width of Rectangular Plate and Height of rectangular plate. The pressure distribution on a submerged horizontal surface is uniform and it acts through the midpoint of the plate. Resultant Force is denoted by FR symbol.

How to calculate Resultant Force Acting on Horizontal Rectangular Surface using this online calculator? To use this online calculator for Resultant Force Acting on Horizontal Rectangular Surface, enter Absolute Pressure above Liquid (Po), Density of Fluid Fluid), Vertical Distance of Point from Free Surface (h), Width of Rectangular Plate (a) & Height of Rectangular Plate (b) and hit the calculate button. Here is how the Resultant Force Acting on Horizontal Rectangular Surface calculation can be explained with given input values -> 2.3E+6 = (101325+(1.225*[g]*4.5))*(3.6*6.3).

FAQ

What is Resultant Force Acting on Horizontal Rectangular Surface?
The Resultant Force Acting on Horizontal Rectangular Surface formula is defined as the function of Absolute Pressure above the Liquid, Density of Fluid, gravitational acceleration, vertical distance from free surface, Width of Rectangular Plate and Height of rectangular plate. The pressure distribution on a submerged horizontal surface is uniform and it acts through the midpoint of the plate and is represented as FR = (Po+(ρFluid*[g]*h))*(a*b) or 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 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 Point from Free Surface is defined as the distance between the point and the free surface, Width of Rectangular Plate is defined as the length of width of rectangular plate & Height of Rectangular Plate is defined as the length of height of the rectangular plate.
How to calculate Resultant Force Acting on Horizontal Rectangular Surface?
The Resultant Force Acting on Horizontal Rectangular Surface formula is defined as the function of Absolute Pressure above the Liquid, Density of Fluid, gravitational acceleration, vertical distance from free surface, Width of Rectangular Plate and Height of rectangular plate. The pressure distribution on a submerged horizontal surface is uniform and it acts through the midpoint of the plate is calculated using 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). To calculate Resultant Force Acting on Horizontal Rectangular Surface, you need Absolute Pressure above Liquid (Po), Density of Fluid Fluid), Vertical Distance of Point from Free Surface (h), Width of Rectangular Plate (a) & Height of Rectangular Plate (b). With our tool, you need to enter the respective value for Absolute Pressure above Liquid, Density of Fluid, Vertical Distance of Point from Free Surface, Width of Rectangular Plate & Height 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, Vertical Distance of Point from Free Surface, Width of Rectangular Plate & Height of Rectangular Plate. 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 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 = sqrt((Horizontal Component of Force^2)+(Vertical Component of Force^2))
  • Resultant Force = Average Pressure on Surface*Area of Surface
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