Hydrostatic Force on Curved Submerged Surface Calculator

✖Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.ⓘ Density [ρ]			+10% -10%
✖Volume is the amount of space that a substance or object occupies or that is enclosed within a container.ⓘ Volume [V_T]			+10% -10%
✖Vertical Depth from Free Surface of Centre of Area is the vertical depth of the center of the area from the surface of the water.ⓘ Vertical Depth from Free Surface of Centre of Area [z_s]			+10% -10%
✖Area is the contact area between the plate and fluid.ⓘ Area [A]			+10% -10%

✖Hydrostatic forces are the resultant force caused by the pressure loading of a liquid acting on submerged surfaces.ⓘ Hydrostatic Force on Curved Submerged Surface [F]

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Hydrostatic Force on Curved Submerged Surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydrostatic Force = sqrt((Density*[g]*Volume)^2+(Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area)^2)
F = sqrt((ρ*[g]*V_T)^2+(ρ*[g]*z_s*A)^2)
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Hydrostatic Force - (Measured in Newton) - Hydrostatic forces are the resultant force caused by the pressure loading of a liquid acting on submerged surfaces.
Density - (Measured in Kilogram per Cubic Meter) - Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
Volume - (Measured in Cubic Meter) - Volume is the amount of space that a substance or object occupies or that is enclosed within a container.
Vertical Depth from Free Surface of Centre of Area - (Measured in Meter) - Vertical Depth from Free Surface of Centre of Area is the vertical depth of the center of the area from the surface of the water.
Area - (Measured in Square Meter) - Area is the contact area between the plate and fluid.

STEP 1: Convert Input(s) to Base Unit

Density: 997.3 Kilogram per Cubic Meter --> 997.3 Kilogram per Cubic Meter No Conversion Required
Volume: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required
Vertical Depth from Free Surface of Centre of Area: 1.75 Meter --> 1.75 Meter No Conversion Required
Area: 49 Square Meter --> 49 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F = sqrt((ρ*[g]*V_T)^2+(ρ*[g]*z_s*A)^2) --> sqrt((997.3*[g]*63)^2+(997.3*[g]*1.75*49)^2)

Evaluating ... ...

F = 1040660.97465367

STEP 3: Convert Result to Output's Unit

1040660.97465367 Newton --> No Conversion Required

FINAL ANSWER

1040660.97465367 ≈ 1E+6 Newton <-- Hydrostatic Force

(Calculation completed in 00.020 seconds)

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Created by Ishan Gupta

Birla Institute of Technology & Science (BITS), Pilani

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< Basic Formulas Calculators

Hydrostatic Force on Curved Submerged Surface

LaTeX Go Hydrostatic Force = sqrt((Density*[g]*Volume)^2+(Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area)^2)

Height of Capillary Rise or Fall

LaTeX Go Height of Capillary Rise/Fall = 4*Surface Tension*cos(Angle of Contact between Liquid and Capillary Tube)/(Density*[g]*Diameter of Tube)

Hydrostatic Force on Horizontal Plane Submerged Surface

LaTeX Go Hydrostatic Force = Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area

Momentum Diffusivity

LaTeX Go Momentum Diffusivity = Dynamic Viscosity/Density

Hydrostatic Force on Curved Submerged Surface Formula

LaTeX Go

Hydrostatic Force = sqrt((Density*[g]*Volume)^2+(Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area)^2)
F = sqrt((ρ*[g]*V_T)^2+(ρ*[g]*z_s*A)^2)

What is Hydrostatic Force on Curved Surfaces?

When a surface is submerged in a fluid, forces develop on the surface due to the fluid. The determination of these forces is important in the design of storage tanks, ships, dams, and other hydraulic structures. For fluids at rest we know that the force must be perpendicular to the surface since there are no shearing stresses present.
The easiest way to determine the resultant hydrostatic force acting on a two-dimensional curved surface is to determine the horizontal and vertical components separately. This is done by considering the free-body diagram of the liquid block enclosed by the curved surface. Hydrostatic forces are the resultant force caused by the pressure loading of a liquid acting on submerged surfaces.

How to Calculate Hydrostatic Force on Curved Submerged Surface?

Hydrostatic Force on Curved Submerged Surface calculator uses Hydrostatic Force = sqrt((Density*[g]*Volume)^2+(Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area)^2) to calculate the Hydrostatic Force, Hydrostatic Force on Curved Submerged Surface is the force resulting from the pressure loading of liquid on Curved submerged surfaces and could be calculated by force balance on the curved surface. Hydrostatic Force is denoted by F symbol.

How to calculate Hydrostatic Force on Curved Submerged Surface using this online calculator? To use this online calculator for Hydrostatic Force on Curved Submerged Surface, enter Density (ρ), Volume (V_T), Vertical Depth from Free Surface of Centre of Area (z_s) & Area (A) and hit the calculate button. Here is how the Hydrostatic Force on Curved Submerged Surface calculation can be explained with given input values -> 1E+6 = sqrt((997.3*[g]*63)^2+(997.3*[g]*1.75*49)^2).

FAQ

What is Hydrostatic Force on Curved Submerged Surface?

Hydrostatic Force on Curved Submerged Surface is the force resulting from the pressure loading of liquid on Curved submerged surfaces and could be calculated by force balance on the curved surface and is represented as F = sqrt((ρ*[g]*V_T)^2+(ρ*[g]*z_s*A)^2) or Hydrostatic Force = sqrt((Density*[g]*Volume)^2+(Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area)^2). Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object, Volume is the amount of space that a substance or object occupies or that is enclosed within a container, Vertical Depth from Free Surface of Centre of Area is the vertical depth of the center of the area from the surface of the water & Area is the contact area between the plate and fluid.

How to calculate Hydrostatic Force on Curved Submerged Surface?

Hydrostatic Force on Curved Submerged Surface is the force resulting from the pressure loading of liquid on Curved submerged surfaces and could be calculated by force balance on the curved surface is calculated using Hydrostatic Force = sqrt((Density*[g]*Volume)^2+(Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area)^2). To calculate Hydrostatic Force on Curved Submerged Surface, you need Density (ρ), Volume (V_T), Vertical Depth from Free Surface of Centre of Area (z_s) & Area (A). With our tool, you need to enter the respective value for Density, Volume, Vertical Depth from Free Surface of Centre of Area & Area 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 Hydrostatic Force?

In this formula, Hydrostatic Force uses Density, Volume, Vertical Depth from Free Surface of Centre of Area & Area. We can use 1 other way(s) to calculate the same, which is/are as follows -

Hydrostatic Force = Density*[g]*Vertical Depth from Free Surface of Centre of Area*Area

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