Absolute Pressure at any Point on 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 Point from X-Axis is the total distance of the point from the x-axis.ⓘ Distance of the Point from X-Axis [y]			+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%

✖Absolute Pressure at any Point on Plate.ⓘ Absolute Pressure at any Point on Submerged Plate given Intersecting Angle [P]

⎘ Copy

👎

Formula

✖

Absolute Pressure at any Point on Submerged Plate given Intersecting Angle

Formula

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

Example

`"101334.8Pa"="101325Pa"+("1.225kg/m³"*"[g]"*"1.63m"*sin("30°"))`

Calculator

LaTeX

Reset

👍

Download Chemical Engineering Formula PDF

Absolute Pressure at any Point on Submerged Plate given Intersecting Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
P = P_o+(ρ_Fluid*[g]*y*sin(θ_Intersect))
This formula uses 1 Constants, 1 Functions, 5 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

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.
Distance of the Point from X-Axis - (Measured in Meter) - Distance of the Point from X-Axis is the total distance of the point 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.

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 Point from X-Axis: 1.63 Meter --> 1.63 Meter No Conversion Required
Intersecting Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = P_o+(ρ_Fluid*[g]*y*sin(θ_Intersect)) --> 101325+(1.225*[g]*1.63*sin(0.5235987755982))

Evaluating ... ...

P = 101334.790714194

STEP 3: Convert Result to Output's Unit

101334.790714194 Pascal --> No Conversion Required

FINAL ANSWER

101334.790714194 ≈ 101334.8 Pascal <-- Absolute Pressure at any Point on Plate

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Chemical Engineering » Fluid Dynamics » Hydrostatic Forces on Surfaces » Absolute Pressure at any Point on Submerged Plate given Intersecting Angle

Credits

Created by Ayush gupta

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

Ayush gupta has created this Calculator and 300+ more calculators!

Verified by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has verified this Calculator and 1600+ more calculators!

< 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 given Intersecting Angle Formula

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))
P = P_o+(ρ_Fluid*[g]*y*sin(θ_Intersect))

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 given Intersecting Angle?

Absolute Pressure at any Point on Submerged Plate given Intersecting Angle calculator uses 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)) to calculate the Absolute Pressure at any Point on Plate, The Absolute Pressure at any Point on Submerged Plate given Intersecting Angle 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 distance from x-axis and angle of intersection. 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 given Intersecting Angle using this online calculator? To use this online calculator for Absolute Pressure at any Point on Submerged Plate given Intersecting Angle, enter Absolute Pressure above Liquid (P_o), Density of Fluid (ρ_Fluid), Distance of the Point from X-Axis (y) & Intersecting Angle (θ_Intersect) and hit the calculate button. Here is how the Absolute Pressure at any Point on Submerged Plate given Intersecting Angle calculation can be explained with given input values -> 101334.8 = 101325+(1.225*[g]*1.63*sin(0.5235987755982)).

FAQ

What is Absolute Pressure at any Point on Submerged Plate given Intersecting Angle?

The Absolute Pressure at any Point on Submerged Plate given Intersecting Angle 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 distance from x-axis and angle of intersection. 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 = P_o+(ρ_Fluid*[g]*y*sin(θ_Intersect)) or 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)). 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 Point from X-Axis is the total distance of the point from the x-axis & Intersecting Angle is defined as angle at which the top surface of the plate and the horizontal free surface intersects.

How to calculate Absolute Pressure at any Point on Submerged Plate given Intersecting Angle?

The Absolute Pressure at any Point on Submerged Plate given Intersecting Angle 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 distance from x-axis and angle of intersection. 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]*Distance of the Point from X-Axis*sin(Intersecting Angle)). To calculate Absolute Pressure at any Point on Submerged Plate given Intersecting Angle, you need Absolute Pressure above Liquid (P_o), Density of Fluid (ρ_Fluid), Distance of the Point from X-Axis (y) & Intersecting Angle (θ_Intersect). With our tool, you need to enter the respective value for Absolute Pressure above Liquid, Density of Fluid, Distance of the Point from X-Axis & Intersecting Angle 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, Distance of the Point from X-Axis & Intersecting Angle. 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]*Vertical Distance of Point from Free Surface)

Home

FREE PDFs

🔍 Search