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

✖Dry Unit Weight of soil is the weight of soil solids per unit of total volume of soil mass.ⓘ Dry Unit Weight [γ_dry]			+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%
✖Percentage of Air Voids in the soil is obtained by dividing the volume of air to the total volume.ⓘ Percentage of Air Voids [n_a]			+10% -10%

✖Unit Weight of Water is mass per unit of water.ⓘ Unit weight of water given Dry unit weight and Percentage of air voids [γ_water]

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Formula

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

Formula

`"γ"_{"water"} = "γ"_{"dry"}*(1+"w"*"G"_{"s"})/("G"_{"s"}*(1-"n"_{"a"}))`

Example

`"33.16058kN/m³"="6.12kN/m³"*(1+"1.79"*"2.65")/("2.65"*(1-"0.6"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
γ_water = γ_dry*(1+w*G_s)/(G_s*(1-n_a))
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.
Dry Unit Weight - (Measured in Newton per Cubic Meter) - Dry Unit Weight of soil is the weight of soil solids per unit of total volume of soil mass.
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.
Percentage of Air Voids - Percentage of Air Voids in the soil is obtained by dividing the volume of air to the total volume.

STEP 1: Convert Input(s) to Base Unit

Dry Unit Weight: 6.12 Kilonewton per Cubic Meter --> 6120 Newton per Cubic Meter (Check conversion here)
Water Content of Soil: 1.79 --> No Conversion Required
Specific Gravity of Soil: 2.65 --> No Conversion Required
Percentage of Air Voids: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ_water = γ_dry*(1+w*G_s)/(G_s*(1-n_a)) --> 6120*(1+1.79*2.65)/(2.65*(1-0.6))

Evaluating ... ...

γ_water = 33160.5849056604

STEP 3: Convert Result to Output's Unit

33160.5849056604 Newton per Cubic Meter -->33.1605849056604 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

33.1605849056604 ≈ 33.16058 Kilonewton per Cubic Meter <-- Unit Weight of Water

(Calculation completed in 00.004 seconds)

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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 Dry unit weight and Percentage of air voids Formula

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))
γ_water = γ_dry*(1+w*G_s)/(G_s*(1-n_a))

What is percentage of air voids?

Percentage of air voids in the soil is obtained by dividing the volume of air to the total volume. This is expressed in percentage. When the soil is fully saturated, the percentage of air voids is equal to zero.

How to Calculate Unit weight of water given Dry unit weight and Percentage of air voids?

Unit weight of water given Dry unit weight and Percentage of air voids calculator uses 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)) to calculate the Unit Weight of Water, The Unit weight of water given Dry unit weight and Percentage of air voids, is essentially the same as the density of water. Unit Weight of Water is denoted by γ_water symbol.

How to calculate Unit weight of water given Dry unit weight and Percentage of air voids using this online calculator? To use this online calculator for Unit weight of water given Dry unit weight and Percentage of air voids, enter Dry Unit Weight (γ_dry), Water Content of Soil (w), Specific Gravity of Soil (G_s) & Percentage of Air Voids (n_a) and hit the calculate button. Here is how the Unit weight of water given Dry unit weight and Percentage of air voids calculation can be explained with given input values -> 0.086694 = 6120*(1+1.79*2.65)/(2.65*(1-0.6)).

FAQ

What is Unit weight of water given Dry unit weight and Percentage of air voids?

The Unit weight of water given Dry unit weight and Percentage of air voids, is essentially the same as the density of water and is represented as γ_water = γ_dry*(1+w*G_s)/(G_s*(1-n_a)) or 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)). Dry Unit Weight of soil is the weight of soil solids per unit of total volume of soil mass, 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 & Percentage of Air Voids in the soil is obtained by dividing the volume of air to the total volume.

How to calculate Unit weight of water given Dry unit weight and Percentage of air voids?

The Unit weight of water given Dry unit weight and Percentage of air voids, is essentially the same as the density of water is calculated using 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)). To calculate Unit weight of water given Dry unit weight and Percentage of air voids, you need Dry Unit Weight (γ_dry), Water Content of Soil (w), Specific Gravity of Soil (G_s) & Percentage of Air Voids (n_a). With our tool, you need to enter the respective value for Dry Unit Weight, Water Content of Soil, Specific Gravity of Soil & Percentage of Air Voids 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 Dry Unit Weight, Water Content of Soil, Specific Gravity of Soil & Percentage of Air Voids. 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 = (Saturated Unit Weight*(1+Void Ratio)/((1+Water Content of Soil)*Specific Gravity of Soil))

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