Unit Weight of Water given Void Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Unit Weight of Water = (Saturated Unit Weight*(1+Void Ratio)/(Specific Gravity of Soil+Void Ratio))
γwater = (γsat*(1+e)/(Gs+e))
This formula uses 4 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.
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
Specific Gravity of Soil: 2.65 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
γwater = (γsat*(1+e)/(Gs+e)) --> (9.98*(1+1.2)/(2.65+1.2))
Evaluating ... ...
γwater = 5.70285714285714
STEP 3: Convert Result to Output's Unit
5.70285714285714 Newton per Cubic Meter -->0.00570285714285714 Kilonewton per Cubic Meter (Check conversion here)
FINAL ANSWER
0.00570285714285714 0.005703 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 Void Ratio Formula

Unit Weight of Water = (Saturated Unit Weight*(1+Void Ratio)/(Specific Gravity of Soil+Void Ratio))
γwater = (γsat*(1+e)/(Gs+e))

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 Void Ratio?

Unit Weight of Water given Void Ratio calculator uses Unit Weight of Water = (Saturated Unit Weight*(1+Void Ratio)/(Specific Gravity of Soil+Void Ratio)) to calculate 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 γwater symbol.

How to calculate Unit Weight of Water given Void Ratio using this online calculator? To use this online calculator for Unit Weight of Water given Void Ratio, enter Saturated Unit Weight sat), Void Ratio (e) & Specific Gravity of Soil (Gs) and hit the calculate button. Here is how the Unit Weight of Water given Void Ratio calculation can be explained with given input values -> 5.7E-6 = (9.98*(1+1.2)/(2.65+1.2)).

FAQ

What is Unit Weight of Water given Void Ratio?
The Unit Weight of Water given Void Ratio formula is defined as the ratio of the weight of water to the volume of water and is represented as γwater = (γsat*(1+e)/(Gs+e)) or Unit Weight of Water = (Saturated Unit Weight*(1+Void Ratio)/(Specific Gravity of Soil+Void Ratio)). 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 & Specific Gravity of Soil is an important property of soil being related to density.
How to calculate Unit Weight of Water given Void Ratio?
The Unit Weight of Water given Void Ratio formula is defined as the ratio of the weight of water to the volume of water is calculated using Unit Weight of Water = (Saturated Unit Weight*(1+Void Ratio)/(Specific Gravity of Soil+Void Ratio)). To calculate Unit Weight of Water given Void Ratio, you need Saturated Unit Weight sat), Void Ratio (e) & Specific Gravity of Soil (Gs). With our tool, you need to enter the respective value for Saturated Unit Weight, Void Ratio & 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 & Specific Gravity of Soil. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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))
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