Specific Weight of Liquid given Total Hydrostatic Force Calculator

✖Hydrostatic force is equal to the product of the area of the surface and the unit pressure at its center of gravity.ⓘ Hydrostatic Force [F_hs]			+10% -10%
✖Depth of Centroid below the free surface.ⓘ Depth of Centroid [h_G]			+10% -10%
✖Wet Surface Area is the surface area of horizontal wetted plane.ⓘ Wet Surface Area [A_wet]			+10% -10%

✖Specific weight 1 is the specific weight of the fluid 1.ⓘ Specific Weight of Liquid given Total Hydrostatic Force [γ₁]

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Formula

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Specific Weight of Liquid given Total Hydrostatic Force

Formula

`"γ"_{"1"} = "F"_{"hs"}/("h"_{"G"}*"A"_{"wet"})`

Example

`"675.2232N/m³"="121N"/("0.32m"*"0.56m²")`

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Specific Weight of Liquid given Total Hydrostatic Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Specific Weight 1 = Hydrostatic Force/(Depth of Centroid*Wet Surface Area)
γ₁ = F_hs/(h_G*A_wet)
This formula uses 4 Variables

Variables Used

Specific Weight 1 - (Measured in Newton per Cubic Meter) - Specific weight 1 is the specific weight of the fluid 1.
Hydrostatic Force - (Measured in Newton) - Hydrostatic force is equal to the product of the area of the surface and the unit pressure at its center of gravity.
Depth of Centroid - (Measured in Meter) - Depth of Centroid below the free surface.
Wet Surface Area - (Measured in Square Meter) - Wet Surface Area is the surface area of horizontal wetted plane.

STEP 1: Convert Input(s) to Base Unit

Hydrostatic Force: 121 Newton --> 121 Newton No Conversion Required
Depth of Centroid: 0.32 Meter --> 0.32 Meter No Conversion Required
Wet Surface Area: 0.56 Square Meter --> 0.56 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ₁ = F_hs/(h_G*A_wet) --> 121/(0.32*0.56)

Evaluating ... ...

γ₁ = 675.223214285714

STEP 3: Convert Result to Output's Unit

675.223214285714 Newton per Cubic Meter --> No Conversion Required

FINAL ANSWER

675.223214285714 ≈ 675.2232 Newton per Cubic Meter <-- Specific Weight 1

(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad

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Specific Weight of Liquid given Total Hydrostatic Force Formula

Specific Weight 1 = Hydrostatic Force/(Depth of Centroid*Wet Surface Area)
γ₁ = F_hs/(h_G*A_wet)

Define Total Hydrostatic Force?

For horizontal plane surface submerged in liquid, or plane surface inside a gas chamber, or any plane surface under the action of uniform hydrostatic pressure, the total hydrostatic force is given by. F=pA. where p is the uniform pressure and A is the area.

How to Calculate Specific Weight of Liquid given Total Hydrostatic Force?

Specific Weight of Liquid given Total Hydrostatic Force calculator uses Specific Weight 1 = Hydrostatic Force/(Depth of Centroid*Wet Surface Area) to calculate the Specific Weight 1, The Specific Weight of Liquid given Total Hydrostatic Force formula is defined as the weight per unit volume of a material. Specific Weight 1 is denoted by γ₁ symbol.

How to calculate Specific Weight of Liquid given Total Hydrostatic Force using this online calculator? To use this online calculator for Specific Weight of Liquid given Total Hydrostatic Force, enter Hydrostatic Force (F_hs), Depth of Centroid (h_G) & Wet Surface Area (A_wet) and hit the calculate button. Here is how the Specific Weight of Liquid given Total Hydrostatic Force calculation can be explained with given input values -> 756.25 = 121/(0.32*0.56).

FAQ

What is Specific Weight of Liquid given Total Hydrostatic Force?

The Specific Weight of Liquid given Total Hydrostatic Force formula is defined as the weight per unit volume of a material and is represented as γ₁ = F_hs/(h_G*A_wet) or Specific Weight 1 = Hydrostatic Force/(Depth of Centroid*Wet Surface Area). Hydrostatic force is equal to the product of the area of the surface and the unit pressure at its center of gravity, Depth of Centroid below the free surface & Wet Surface Area is the surface area of horizontal wetted plane.

How to calculate Specific Weight of Liquid given Total Hydrostatic Force?

The Specific Weight of Liquid given Total Hydrostatic Force formula is defined as the weight per unit volume of a material is calculated using Specific Weight 1 = Hydrostatic Force/(Depth of Centroid*Wet Surface Area). To calculate Specific Weight of Liquid given Total Hydrostatic Force, you need Hydrostatic Force (F_hs), Depth of Centroid (h_G) & Wet Surface Area (A_wet). With our tool, you need to enter the respective value for Hydrostatic Force, Depth of Centroid & Wet Surface 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 Specific Weight 1?

In this formula, Specific Weight 1 uses Hydrostatic Force, Depth of Centroid & Wet Surface Area. We can use 2 other way(s) to calculate the same, which is/are as follows -

Specific Weight 1 = (Pressure Changes+Specific weight 2*Height of Column 2)/Height of Column 1
Specific Weight 1 = Pressure a/(Length of Manometer*sin(Angle))

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