Total Hydrostatic Force Calculator

✖Specific weight of the fluid is a measure of the force exerted by gravity on a unit volume of fluid.ⓘ Specific Weight of The Fluid [γ]			+10% -10%
✖Vertical distance from centroid refers to the distance from the centroid of the body which is submerged in the fluid to the free surface of the fluid.ⓘ Vertical Distance From Centroid [h_c]			+10% -10%
✖Surface area of the object can be referred as the total two dimensional space of the submerged object, that is in contact with the fluid.ⓘ Surface Area of The Object [A_s]			+10% -10%

✖Hydrostatic force is the force exerted by fluid at rest on a immersed or partially immersed object in the fluid or placed within it. It arises due the pressure distribution by the fluid on the object.ⓘ Total Hydrostatic Force [F_h]

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Total Hydrostatic Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydrostatic Force = Specific Weight of The Fluid*Vertical Distance From Centroid*Surface Area of The Object
F_h = γ*h_c*A_s
This formula uses 4 Variables

Variables Used

Hydrostatic Force - (Measured in Newton) - Hydrostatic force is the force exerted by fluid at rest on a immersed or partially immersed object in the fluid or placed within it. It arises due the pressure distribution by the fluid on the object.
Specific Weight of The Fluid - (Measured in Newton per Cubic Meter) - Specific weight of the fluid is a measure of the force exerted by gravity on a unit volume of fluid.
Vertical Distance From Centroid - (Measured in Meter) - Vertical distance from centroid refers to the distance from the centroid of the body which is submerged in the fluid to the free surface of the fluid.
Surface Area of The Object - (Measured in Square Meter) - Surface area of the object can be referred as the total two dimensional space of the submerged object, that is in contact with the fluid.

STEP 1: Convert Input(s) to Base Unit

Specific Weight of The Fluid: 7357.5 Newton per Cubic Meter --> 7357.5 Newton per Cubic Meter No Conversion Required
Vertical Distance From Centroid: 0.32 Meter --> 0.32 Meter No Conversion Required
Surface Area of The Object: 0.3586 Square Meter --> 0.3586 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_h = γ*h_c*A_s --> 7357.5*0.32*0.3586

Evaluating ... ...

F_h = 844.28784

STEP 3: Convert Result to Output's Unit

844.28784 Newton --> No Conversion Required

FINAL ANSWER

844.28784 ≈ 844.2878 Newton <-- Hydrostatic Force

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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< Applications of Fluid Force Calculators

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Friction Factor given Frictional Velocity

LaTeX Go Darcy's Friction Factor = 8*(Friction Velocity/Mean Velocity)^2

Total Hydrostatic Force Formula

LaTeX Go

Hydrostatic Force = Specific Weight of The Fluid*Vertical Distance From Centroid*Surface Area of The Object
F_h = γ*h_c*A_s

Calculation of total hydrostatic force on an object, when specific weight of fluid is known.

Specific weight 'γ' is the weight per unit volume of the fluid. It's related to the density 'ρ' of the fluid by the equation γ = ρ * g, where 'g' is the acceleration due to gravity (approximately 9.81 m/s² or 32.2 ft/s²). Keeping this in mind we can calculate total hydrostatic force given as, F = ρ * g * h * a , where 'F' is the total hydrostatic force, 'h' is the vertical distance from the centroid of the object to free surface, 'a' is the surface area of the object.
This formula calculates the total hydrostatic force acting on the object, which includes both upward and downward pressure forces. Depending on the object's density compared to the fluid, the net force can be upward (buoyant force) or downward.

What is buoyant force?

The buoyant force is an upward force exerted on an object immersed or partially submerged in a fluid (liquid or gas), due to the pressure difference between the top and bottom of the object. It arises from Archimedes' principle, stating that the buoyant force is equal to the weight of the fluid displaced by the object. This force counteracts the weight of the object, making objects in a fluid experience a net upward force, causing them to float or feel lighter. Buoyancy plays a crucial role in various applications, from designing ships and submarines to understanding the behavior of balloons and life jackets.

How to Calculate Total Hydrostatic Force?

Total Hydrostatic Force calculator uses Hydrostatic Force = Specific Weight of The Fluid*Vertical Distance From Centroid*Surface Area of The Object to calculate the Hydrostatic Force, Total Hydrostatic Force formula is defined as the measure of the resultant force exerted by a fluid on an object, which is dependent on the fluid's specific weight, the height of the fluid column, and the surface area of the object in contact with the fluid. Hydrostatic Force is denoted by F_h symbol.

How to calculate Total Hydrostatic Force using this online calculator? To use this online calculator for Total Hydrostatic Force, enter Specific Weight of The Fluid (γ), Vertical Distance From Centroid (h_c) & Surface Area of The Object (A_s) and hit the calculate button. Here is how the Total Hydrostatic Force calculation can be explained with given input values -> 153.9972 = 7357.5*0.32*0.3586.

FAQ

What is Total Hydrostatic Force?

Total Hydrostatic Force formula is defined as the measure of the resultant force exerted by a fluid on an object, which is dependent on the fluid's specific weight, the height of the fluid column, and the surface area of the object in contact with the fluid and is represented as F_h = γ*h_c*A_s or Hydrostatic Force = Specific Weight of The Fluid*Vertical Distance From Centroid*Surface Area of The Object. Specific weight of the fluid is a measure of the force exerted by gravity on a unit volume of fluid, Vertical distance from centroid refers to the distance from the centroid of the body which is submerged in the fluid to the free surface of the fluid & Surface area of the object can be referred as the total two dimensional space of the submerged object, that is in contact with the fluid.

How to calculate Total Hydrostatic Force?

Total Hydrostatic Force formula is defined as the measure of the resultant force exerted by a fluid on an object, which is dependent on the fluid's specific weight, the height of the fluid column, and the surface area of the object in contact with the fluid is calculated using Hydrostatic Force = Specific Weight of The Fluid*Vertical Distance From Centroid*Surface Area of The Object. To calculate Total Hydrostatic Force, you need Specific Weight of The Fluid (γ), Vertical Distance From Centroid (h_c) & Surface Area of The Object (A_s). With our tool, you need to enter the respective value for Specific Weight of The Fluid, Vertical Distance From Centroid & Surface Area of The Object and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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