Absolute Pressure at any Point on Submerged Plate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Absolute Pressure at any Point on Plate = Absolute Pressure above Liquid+(Density of Fluid*[g]*Vertical Distance of Point from Free Surface)
P = Po+(ρFluid*[g]*h)
This formula uses 1 Constants, 4 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Absolute Pressure at any Point on Plate - (Measured in Pascal) - Absolute Pressure at any Point on Plate.
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.
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = Po+(ρFluid*[g]*h) --> 101325+(1.225*[g]*4.5)
Evaluating ... ...
P = 101379.059158125
STEP 3: Convert Result to Output's Unit
101379.059158125 Pascal --> No Conversion Required
FINAL ANSWER
101379.059158125 101379.1 Pascal <-- Absolute Pressure at any Point on Plate
(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

Absolute Pressure at any Point on Submerged Plate Formula

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

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 Absolute Pressure at any Point on Submerged Plate?

Absolute Pressure at any Point on Submerged Plate calculator uses Absolute Pressure at any Point on Plate = Absolute Pressure above Liquid+(Density of Fluid*[g]*Vertical Distance of Point from Free Surface) to calculate the Absolute Pressure at any Point on Plate, The Absolute Pressure at any Point on Submerged Plate formula is defined as the function of Absolute Pressure above the Liquid which is the local atmospheric pressure Patm if the liquid is open to the atmosphere (but P0 may be different than Patm if the space above the liquid is evacuated or pressurized), density of fluid, gravitational acceleration and Vertical Distance of Point from Free Surface. A plate (such as a gate valve in a dam, the wall of a liquid storage tank, or the hull of a ship at rest) is subjected to fluid pressure distributed over its surface when exposed to a liquid. On a plane surface, the hydrostatic forces form a system of parallel forces, and we often need to determine the magnitude of the force and its point of application, which is called the center of pressure. In most cases, the other side of the plate is open to the atmosphere (such as the dry side of a gate), and thus atmospheric pressure acts on both sides of the plate, yielding a zero resultant. Absolute Pressure at any Point on Plate is denoted by P symbol.

How to calculate Absolute Pressure at any Point on Submerged Plate using this online calculator? To use this online calculator for Absolute Pressure at any Point on Submerged Plate, enter Absolute Pressure above Liquid (Po), Density of Fluid Fluid) & Vertical Distance of Point from Free Surface (h) and hit the calculate button. Here is how the Absolute Pressure at any Point on Submerged Plate calculation can be explained with given input values -> 101379.1 = 101325+(1.225*[g]*4.5).

FAQ

What is Absolute Pressure at any Point on Submerged Plate?
The Absolute Pressure at any Point on Submerged Plate formula is defined as the function of Absolute Pressure above the Liquid which is the local atmospheric pressure Patm if the liquid is open to the atmosphere (but P0 may be different than Patm if the space above the liquid is evacuated or pressurized), density of fluid, gravitational acceleration and Vertical Distance of Point from Free Surface. A plate (such as a gate valve in a dam, the wall of a liquid storage tank, or the hull of a ship at rest) is subjected to fluid pressure distributed over its surface when exposed to a liquid. On a plane surface, the hydrostatic forces form a system of parallel forces, and we often need to determine the magnitude of the force and its point of application, which is called the center of pressure. In most cases, the other side of the plate is open to the atmosphere (such as the dry side of a gate), and thus atmospheric pressure acts on both sides of the plate, yielding a zero resultant and is represented as P = Po+(ρFluid*[g]*h) or Absolute Pressure at any Point on Plate = Absolute Pressure above Liquid+(Density of Fluid*[g]*Vertical Distance of Point from Free 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 & Vertical Distance of Point from Free Surface is defined as the distance between the point and the free surface.
How to calculate Absolute Pressure at any Point on Submerged Plate?
The Absolute Pressure at any Point on Submerged Plate formula is defined as the function of Absolute Pressure above the Liquid which is the local atmospheric pressure Patm if the liquid is open to the atmosphere (but P0 may be different than Patm if the space above the liquid is evacuated or pressurized), density of fluid, gravitational acceleration and Vertical Distance of Point from Free Surface. A plate (such as a gate valve in a dam, the wall of a liquid storage tank, or the hull of a ship at rest) is subjected to fluid pressure distributed over its surface when exposed to a liquid. On a plane surface, the hydrostatic forces form a system of parallel forces, and we often need to determine the magnitude of the force and its point of application, which is called the center of pressure. In most cases, the other side of the plate is open to the atmosphere (such as the dry side of a gate), and thus atmospheric pressure acts on both sides of the plate, yielding a zero resultant is calculated using Absolute Pressure at any Point on Plate = Absolute Pressure above Liquid+(Density of Fluid*[g]*Vertical Distance of Point from Free Surface). To calculate Absolute Pressure at any Point on Submerged Plate, you need Absolute Pressure above Liquid (Po), Density of Fluid Fluid) & Vertical Distance of Point from Free Surface (h). 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 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 Absolute Pressure at any Point on Plate?
In this formula, Absolute Pressure at any Point on Plate uses Absolute Pressure above Liquid, Density of Fluid & Vertical Distance of Point from Free Surface. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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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