Magnitude of Resultant Hydrostatic Force Acting on Curved Surface Calculator

✖Horizontal Component of Force is the resolved force acting along the horizontal direction.ⓘ Horizontal Component of Force [F_H]			+10% -10%
✖Vertical Component of Force is the resolved force acting along the vertical direction.ⓘ Vertical Component of Force [F_v]			+10% -10%

✖Resultant Force is defined as the total net force of various forces acting on an object.ⓘ Magnitude of Resultant Hydrostatic Force Acting on Curved Surface [F_R]

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Magnitude of Resultant Hydrostatic Force Acting on Curved Surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resultant Force = sqrt((Horizontal Component of Force^2)+(Vertical Component of Force^2))
F_R = sqrt((F_H^2)+(F_v^2))
This formula uses 1 Functions, 3 Variables

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

Resultant Force - (Measured in Newton) - Resultant Force is defined as the total net force of various forces acting on an object.
Horizontal Component of Force - (Measured in Newton) - Horizontal Component of Force is the resolved force acting along the horizontal direction.
Vertical Component of Force - (Measured in Newton) - Vertical Component of Force is the resolved force acting along the vertical direction.

STEP 1: Convert Input(s) to Base Unit

Horizontal Component of Force: 12.48 Newton --> 12.48 Newton No Conversion Required
Vertical Component of Force: 18.65 Newton --> 18.65 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_R = sqrt((F_H^2)+(F_v^2)) --> sqrt((12.48^2)+(18.65^2))

Evaluating ... ...

F_R = 22.4404300315301

STEP 3: Convert Result to Output's Unit

22.4404300315301 Newton --> No Conversion Required

FINAL ANSWER

22.4404300315301 ≈ 22.44043 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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< Hydrostatic Forces on Surfaces Calculators

Absolute Pressure at any Point on Submerged Plate given Intersecting Angle

LaTeX 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

LaTeX 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

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

Resultant Force Acting on Plane Surface of Completely Submerged Plate

LaTeX Go Resultant Force = Pressure at Centroid of Surface*Area of Surface

Magnitude of Resultant Hydrostatic Force Acting on Curved Surface Formula

LaTeX Go

Resultant Force = sqrt((Horizontal Component of Force^2)+(Vertical Component of Force^2))
F_R = sqrt((F_H^2)+(F_v^2))

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 Magnitude of Resultant Hydrostatic Force Acting on Curved Surface?

Magnitude of Resultant Hydrostatic Force Acting on Curved Surface calculator uses Resultant Force = sqrt((Horizontal Component of Force^2)+(Vertical Component of Force^2)) to calculate the Resultant Force, The Magnitude of Resultant Hydrostatic Force Acting on Curved Surface formula is defined as the square root of addition of the square of the horizontal and vertical Component of force. The horizontal component of the hydrostatic force acting on a curved surface is equal (in both magnitude and the line of action) to the hydrostatic force acting on the vertical projection of the curved surface. The vertical component of the hydrostatic force acting on a curved surface is equal to the hydrostatic force acting on the horizontal projection of the curved surface, plus (minus, if acting in the opposite direction) the weight of the fluid block. Resultant Force is denoted by F_R symbol.

How to calculate Magnitude of Resultant Hydrostatic Force Acting on Curved Surface using this online calculator? To use this online calculator for Magnitude of Resultant Hydrostatic Force Acting on Curved Surface, enter Horizontal Component of Force (F_H) & Vertical Component of Force (F_v) and hit the calculate button. Here is how the Magnitude of Resultant Hydrostatic Force Acting on Curved Surface calculation can be explained with given input values -> 22.44043 = sqrt((12.48^2)+(18.65^2)).

FAQ

What is Magnitude of Resultant Hydrostatic Force Acting on Curved Surface?

The Magnitude of Resultant Hydrostatic Force Acting on Curved Surface formula is defined as the square root of addition of the square of the horizontal and vertical Component of force. The horizontal component of the hydrostatic force acting on a curved surface is equal (in both magnitude and the line of action) to the hydrostatic force acting on the vertical projection of the curved surface. The vertical component of the hydrostatic force acting on a curved surface is equal to the hydrostatic force acting on the horizontal projection of the curved surface, plus (minus, if acting in the opposite direction) the weight of the fluid block and is represented as F_R = sqrt((F_H^2)+(F_v^2)) or Resultant Force = sqrt((Horizontal Component of Force^2)+(Vertical Component of Force^2)). Horizontal Component of Force is the resolved force acting along the horizontal direction & Vertical Component of Force is the resolved force acting along the vertical direction.

How to calculate Magnitude of Resultant Hydrostatic Force Acting on Curved Surface?

The Magnitude of Resultant Hydrostatic Force Acting on Curved Surface formula is defined as the square root of addition of the square of the horizontal and vertical Component of force. The horizontal component of the hydrostatic force acting on a curved surface is equal (in both magnitude and the line of action) to the hydrostatic force acting on the vertical projection of the curved surface. The vertical component of the hydrostatic force acting on a curved surface is equal to the hydrostatic force acting on the horizontal projection of the curved surface, plus (minus, if acting in the opposite direction) the weight of the fluid block is calculated using Resultant Force = sqrt((Horizontal Component of Force^2)+(Vertical Component of Force^2)). To calculate Magnitude of Resultant Hydrostatic Force Acting on Curved Surface, you need Horizontal Component of Force (F_H) & Vertical Component of Force (F_v). With our tool, you need to enter the respective value for Horizontal Component of Force & Vertical Component of Force 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 Horizontal Component of Force & Vertical Component of Force. We can use 3 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)

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