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

STEP 0: Pre-Calculation Summary
Formula Used
Resultant Force = Average Pressure on Surface*Area of Surface
FR = PAvg*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.
Average Pressure on Surface - (Measured in Pascal) - Average Pressure on Surface is defined as the average pressure acting on surface. It is equivalent to centroid pressure 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
Average Pressure on Surface: 26.59 Pascal --> 26.59 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
FR = PAvg*A --> 26.59*12.3
Evaluating ... ...
FR = 327.057
STEP 3: Convert Result to Output's Unit
327.057 Newton --> No Conversion Required
FINAL ANSWER
327.057 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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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 given Average Pressure Formula

Resultant Force = Average Pressure on Surface*Area of Surface
FR = PAvg*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 given Average Pressure?

Resultant Force Acting on Plane Surface of Completely Submerged Plate given Average Pressure calculator uses Resultant Force = Average Pressure on Surface*Area of Surface to calculate the Resultant Force, The Resultant Force Acting on Plane Surface of Completely Submerged Plate given Average Pressure formula is defined as the product of Average pressure acting on the surface 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 FR symbol.

How to calculate Resultant Force Acting on Plane Surface of Completely Submerged Plate given Average Pressure using this online calculator? To use this online calculator for Resultant Force Acting on Plane Surface of Completely Submerged Plate given Average Pressure, enter Average Pressure on Surface (PAvg) & Area of Surface (A) and hit the calculate button. Here is how the Resultant Force Acting on Plane Surface of Completely Submerged Plate given Average Pressure calculation can be explained with given input values -> 327.057 = 26.59*12.3.

FAQ

What is Resultant Force Acting on Plane Surface of Completely Submerged Plate given Average Pressure?
The Resultant Force Acting on Plane Surface of Completely Submerged Plate given Average Pressure formula is defined as the product of Average pressure acting on the surface 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 FR = PAvg*A or Resultant Force = Average Pressure on Surface*Area of Surface. Average Pressure on Surface is defined as the average pressure acting on surface. It is equivalent to centroid pressure 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 given Average Pressure?
The Resultant Force Acting on Plane Surface of Completely Submerged Plate given Average Pressure formula is defined as the product of Average pressure acting on the surface 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 = Average Pressure on Surface*Area of Surface. To calculate Resultant Force Acting on Plane Surface of Completely Submerged Plate given Average Pressure, you need Average Pressure on Surface (PAvg) & Area of Surface (A). With our tool, you need to enter the respective value for Average Pressure on 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 Average Pressure on Surface & 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 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))
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