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Unit Weight of Water given Void Ratio Formula

GoUnit Weight of Water given Dry Unit Weight Formula

GoUnit Weight of Water given Saturated Unit Weight Formula

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Unit Weight of Water is mass per unit of water. Check FAQs

γ water = (γ sat \cdot \frac{1 + e}{G s + e})

γ_water - Unit Weight of Water?γ_sat - Saturated Unit Weight?e - Void Ratio?G_s - Specific Gravity of Soil?

Unit Weight of Water given Void Ratio Example

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Here is how the Unit Weight of Water given Void Ratio equation looks like with Values.

Here is how the Unit Weight of Water given Void Ratio equation looks like with Units.

Here is how the Unit Weight of Water given Void Ratio equation looks like.

0.0057 = (9.98 \cdot \frac{1 + 1.2}{2.65 + 1.2})

0.0057kN/m³ = (9.98N/m³ \cdot \frac{1 + 1.2}{2.65 + 1.2})

0.0057 = (9.98 \cdot \frac{1 + 1.2}{2.65 + 1.2})

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Unit Weight of Water given Void Ratio Solution

Follow our step by step solution on how to calculate Unit Weight of Water given Void Ratio?

FIRST Step Consider the formula

γ water = (γ sat \cdot \frac{1 + e}{G s + e})

Next Step Substitute values of Variables

∴

γ water = (9.98N/m³ \cdot \frac{1 + 1.2}{2.65 + 1.2})

Next Step Prepare to Evaluate

∴

γ water = (9.98 \cdot \frac{1 + 1.2}{2.65 + 1.2})

Next Step Evaluate

∴

γ water = 5.70285714285714N/m³

Next Step Convert to Output's Unit

∴

γ water = 0.00570285714285714kN/m³

LAST Step Rounding Answer

∴

γ water = 0.0057kN/m³

Unit Weight of Water given Void Ratio Formula Elements

Variables

Unit Weight of Water

Unit Weight of Water is mass per unit of water.

Symbol: γ_water

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Water

Saturated Unit Weight

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.

Symbol: γ_sat

Measurement: Specific WeightUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Saturated Unit Weight

Void Ratio

Void Ratio is the ratio of the volume of voids to the volume of solids.

Symbol: e

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Void Ratio

Specific Gravity of Soil

Specific Gravity of Soil is an important property of soil being related to density.

Symbol: G_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Specific Gravity of Soil

Other Formulas to find Unit Weight of Water

Go Unit Weight of Water given Dry Unit Weight

γ water = (γ dry \cdot \frac{1 + e}{G s})

Go Unit Weight of Water given Saturated Unit Weight

γ water = (γ sat \cdot \frac{1 + e}{(1 + w) \cdot G s})

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

γ water = γ dry \cdot \frac{1 + w \cdot G s}{G s \cdot (1 - n a)}

Other formulas in Unit Weight of Water category

Go Unit Weight of Water given Buoyant Unit Weight

γ dry = (γ b \cdot \frac{1 + e}{G s - 1})

Go Shrinkage Ratio of Soil

SR = \frac{γ dry}{γ water}

How to Evaluate Unit Weight of Water given Void Ratio?

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

How to evaluate Unit Weight of Water given Void Ratio using this online evaluator? To use this online evaluator for Unit Weight of Water given Void Ratio, enter Saturated Unit Weight (γ_sat), Void Ratio (e) & Specific Gravity of Soil (G_s) and hit the calculate button.

FAQs on Unit Weight of Water given Void Ratio

What is the formula to find Unit Weight of Water given Void Ratio?

The formula of Unit Weight of Water given Void Ratio is expressed as Unit Weight of Water = (Saturated Unit Weight*(1+Void Ratio)/(Specific Gravity of Soil+Void Ratio)). Here is an example- 5.7E-6 = (9.98*(1+1.2)/(2.65+1.2)).

How to calculate Unit Weight of Water given Void Ratio?

With Saturated Unit Weight (γ_sat), Void Ratio (e) & Specific Gravity of Soil (G_s) we can find Unit Weight of Water given Void Ratio using the formula - Unit Weight of Water = (Saturated Unit Weight*(1+Void Ratio)/(Specific Gravity of Soil+Void Ratio)).

What are the other ways to Calculate Unit Weight of Water?

Here are the different ways to Calculate Unit Weight of Water-

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))
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))

Can the Unit Weight of Water given Void Ratio be negative?

No, the Unit Weight of Water given Void Ratio, measured in Specific Weight cannot be negative.

Which unit is used to measure Unit Weight of Water given Void Ratio?

Unit Weight of Water given Void Ratio is usually measured using the Kilonewton per Cubic Meter[kN/m³] for Specific Weight. Newton per Cubic Meter[kN/m³], Newton per Cubic Centimeter[kN/m³], Newton per Cubic Millimeter[kN/m³] are the few other units in which Unit Weight of Water given Void Ratio can be measured.

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Unit Weight of Water given Void Ratio Formula

​GoUnit Weight of Water given Dry Unit Weight Formula

​GoUnit Weight of Water given Saturated Unit Weight Formula

Unit Weight of Water given Void Ratio Example

Unit Weight of Water given Void Ratio Solution

Unit Weight of Water given Void Ratio Formula Elements

Other Formulas to find Unit Weight of Water

Other formulas in Unit Weight of Water category

How to Evaluate Unit Weight of Water given Void Ratio?

FAQs on Unit Weight of Water given Void Ratio

Variable Name

GoUnit Weight of Water given Dry Unit Weight Formula

GoUnit Weight of Water given Saturated Unit Weight Formula