Unit Weight of Water given Saturated Unit Weight Calculator

✖Saturated Unit Weight is the value of the unit weight of the soil when the soil is completely saturated with water that is all the soil pores are completely filled with water.ⓘ Saturated Unit Weight [γ_sat]			+10% -10%
✖Void Ratio is the ratio of the volume of voids to the volume of solids.ⓘ Void Ratio [e]			+10% -10%
✖Water Content of Soil is the natural water content of soil sample.ⓘ Water Content of Soil [w]			+10% -10%
✖Specific Gravity of Soil is an important property of soil being related to density.ⓘ Specific Gravity of Soil [G_s]			+10% -10%

✖Unit Weight of Water is mass per unit of water.ⓘ Unit Weight of Water given Saturated Unit Weight [γ_water]

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Formula

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Unit Weight of Water given Saturated Unit Weight

Formula

`"γ"_{"water"} = ("γ"_{"sat"}*(1+"e")/((1+"w")*"G"_{"s"}))`

Example

`"0.00297kN/m³"=("9.98N/m³"*(1+"1.2")/((1+"1.79")*"2.65"))`

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Unit Weight of Water given Saturated Unit Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unit Weight of Water = (Saturated Unit Weight*(1+Void Ratio)/((1+Water Content of Soil)*Specific Gravity of Soil))
γ_water = (γ_sat*(1+e)/((1+w)*G_s))
This formula uses 5 Variables

Variables Used

Unit Weight of Water - (Measured in Newton per Cubic Meter) - Unit Weight of Water is mass per unit of water.
Saturated Unit Weight - (Measured in Newton per Cubic Meter) - Saturated Unit Weight is the value of the unit weight of the soil when the soil is completely saturated with water that is all the soil pores are completely filled with water.
Void Ratio - Void Ratio is the ratio of the volume of voids to the volume of solids.
Water Content of Soil - Water Content of Soil is the natural water content of soil sample.
Specific Gravity of Soil - Specific Gravity of Soil is an important property of soil being related to density.

STEP 1: Convert Input(s) to Base Unit

Saturated Unit Weight: 9.98 Newton per Cubic Meter --> 9.98 Newton per Cubic Meter No Conversion Required
Void Ratio: 1.2 --> No Conversion Required
Water Content of Soil: 1.79 --> No Conversion Required
Specific Gravity of Soil: 2.65 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ_water = (γ_sat*(1+e)/((1+w)*G_s)) --> (9.98*(1+1.2)/((1+1.79)*2.65))

Evaluating ... ...

γ_water = 2.96963549063367

STEP 3: Convert Result to Output's Unit

2.96963549063367 Newton per Cubic Meter -->0.00296963549063367 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

0.00296963549063367 ≈ 0.00297 Kilonewton per Cubic Meter <-- Unit Weight of Water

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< 6 Unit Weight of Water Calculators

Unit weight of water given Dry unit weight and Percentage of air voids

Go Unit Weight of Water = Dry Unit Weight*(1+Water Content of Soil*Specific Gravity of Soil)/(Specific Gravity of Soil*(1-Percentage of Air Voids))

Unit Weight of Water given Saturated Unit Weight

Go Unit Weight of Water = (Saturated Unit Weight*(1+Void Ratio)/((1+Water Content of Soil)*Specific Gravity of Soil))

Unit Weight of Water given Void Ratio

Go Unit Weight of Water = (Saturated Unit Weight*(1+Void Ratio)/(Specific Gravity of Soil+Void Ratio))

Unit Weight of Water given Buoyant Unit Weight

Go Dry Unit Weight = (Buoyant Unit Weight*(1+Void Ratio)/(Specific Gravity of Soil-1))

Unit Weight of Water given Dry Unit Weight

Go Unit Weight of Water = (Dry Unit Weight*(1+Void Ratio)/Specific Gravity of Soil)

Shrinkage Ratio of Soil

Go Shrinkage Ratio = Dry Unit Weight/Unit Weight of Water

Unit Weight of Water given Saturated Unit Weight Formula

Unit Weight of Water = (Saturated Unit Weight*(1+Void Ratio)/((1+Water Content of Soil)*Specific Gravity of Soil))
γ_water = (γ_sat*(1+e)/((1+w)*G_s))

What is unit weight of water ?

The specific weight, also known as the unit weight, is the weight per unit volume of a material. A commonly used value is the specific weight of water on Earth at 4°C, which is 9.807 kN/m3 . The terms specific gravity, and less often specific weight, are also used for relative density.

How to Calculate Unit Weight of Water given Saturated Unit Weight?

Unit Weight of Water given Saturated Unit Weight calculator uses Unit Weight of Water = (Saturated Unit Weight*(1+Void Ratio)/((1+Water Content of Soil)*Specific Gravity of Soil)) to calculate the Unit Weight of Water, The Unit Weight of Water given Saturated Unit Weight is defined as ratio of weight of water to volume of water. Unit Weight of Water is denoted by γ_water symbol.

How to calculate Unit Weight of Water given Saturated Unit Weight using this online calculator? To use this online calculator for Unit Weight of Water given Saturated Unit Weight, enter Saturated Unit Weight (γ_sat), Void Ratio (e), Water Content of Soil (w) & Specific Gravity of Soil (G_s) and hit the calculate button. Here is how the Unit Weight of Water given Saturated Unit Weight calculation can be explained with given input values -> 3E-6 = (9.98*(1+1.2)/((1+1.79)*2.65)).

FAQ

What is Unit Weight of Water given Saturated Unit Weight?

The Unit Weight of Water given Saturated Unit Weight is defined as ratio of weight of water to volume of water and is represented as γ_water = (γ_sat*(1+e)/((1+w)*G_s)) or Unit Weight of Water = (Saturated Unit Weight*(1+Void Ratio)/((1+Water Content of Soil)*Specific Gravity of Soil)). Saturated Unit Weight is the value of the unit weight of the soil when the soil is completely saturated with water that is all the soil pores are completely filled with water, Void Ratio is the ratio of the volume of voids to the volume of solids, Water Content of Soil is the natural water content of soil sample & Specific Gravity of Soil is an important property of soil being related to density.

How to calculate Unit Weight of Water given Saturated Unit Weight?

The Unit Weight of Water given Saturated Unit Weight is defined as ratio of weight of water to volume of water is calculated using Unit Weight of Water = (Saturated Unit Weight*(1+Void Ratio)/((1+Water Content of Soil)*Specific Gravity of Soil)). To calculate Unit Weight of Water given Saturated Unit Weight, you need Saturated Unit Weight (γ_sat), Void Ratio (e), Water Content of Soil (w) & Specific Gravity of Soil (G_s). With our tool, you need to enter the respective value for Saturated Unit Weight, Void Ratio, Water Content of Soil & Specific Gravity of Soil 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 Unit Weight of Water?

In this formula, Unit Weight of Water uses Saturated Unit Weight, Void Ratio, Water Content of Soil & Specific Gravity of Soil. We can use 3 other way(s) to calculate the same, which is/are as follows -

Unit Weight of Water = (Saturated Unit Weight*(1+Void Ratio)/(Specific Gravity of Soil+Void Ratio))
Unit Weight of Water = (Dry Unit Weight*(1+Void Ratio)/Specific Gravity of Soil)
Unit Weight of Water = Dry Unit Weight*(1+Water Content of Soil*Specific Gravity of Soil)/(Specific Gravity of Soil*(1-Percentage of Air Voids))

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