Unit Weight of Water given Effective Weight of Particle Calculator

✖Unit weight of particle is defined as weight per unit volume of the particle.ⓘ Unit weight of particle [γ_s]			+10% -10%
✖Effective weight of particle is difference between total weight and buoyancy.ⓘ Effective weight of particle [W]			+10% -10%
✖Radius of Particle is defined as half of the diameter of that particle.ⓘ Radius of Particle [r]			+10% -10%

✖Unit Weight of Liquid is the weight of water per unit volume of water.ⓘ Unit Weight of Water given Effective Weight of Particle [γ_w]

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Formula

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Unit Weight of Water given Effective Weight of Particle

Formula

`"γ"_{"w"} = "γ"_{"s"}-("W"/((4/3)*pi*("r")^3))`

Example

`"9999.94N/m³"="10kN/m³"-("2kg"/((4/3)*pi*("2m")^3))`

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Unit Weight of Water given Effective Weight of Particle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unit Weight of Liquid = Unit weight of particle-(Effective weight of particle/((4/3)*pi*(Radius of Particle)^3))
γ_w = γ_s-(W/((4/3)*pi*(r)^3))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Unit Weight of Liquid - (Measured in Newton per Cubic Meter) - Unit Weight of Liquid is the weight of water per unit volume of water.
Unit weight of particle - (Measured in Newton per Cubic Meter) - Unit weight of particle is defined as weight per unit volume of the particle.
Effective weight of particle - (Measured in Kilogram) - Effective weight of particle is difference between total weight and buoyancy.
Radius of Particle - (Measured in Meter) - Radius of Particle is defined as half of the diameter of that particle.

STEP 1: Convert Input(s) to Base Unit

Unit weight of particle: 10 Kilonewton per Cubic Meter --> 10000 Newton per Cubic Meter (Check conversion here)
Effective weight of particle: 2 Kilogram --> 2 Kilogram No Conversion Required
Radius of Particle: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ_w = γ_s-(W/((4/3)*pi*(r)^3)) --> 10000-(2/((4/3)*pi*(2)^3))

Evaluating ... ...

γ_w = 9999.94031689634

STEP 3: Convert Result to Output's Unit

9999.94031689634 Newton per Cubic Meter --> No Conversion Required

FINAL ANSWER

9999.94031689634 ≈ 9999.94 Newton per Cubic Meter <-- Unit Weight of Liquid

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 7 Effective Weight of Particle Calculators

Radius of Particle given Effective Weight of Particle

Go Radius of Particle = (Effective weight of particle/((4/3)*pi)*(Unit weight of particle-Unit Weight of Liquid))^(1/3)

Unit weight of Particle given Effective Weight of Particle

Go Unit weight of particle = (Effective weight of particle/((4/3)*pi*(Radius of Particle)^3))+Unit Weight of Liquid

Unit Weight of Water given Effective Weight of Particle

Go Unit Weight of Liquid = Unit weight of particle-(Effective weight of particle/((4/3)*pi*(Radius of Particle)^3))

Effective Weight of Particle

Go Effective weight of particle = ((4/3)*pi*(Radius of Particle)^3)*(Unit weight of particle-Unit Weight of Liquid)

Total Weight given Effective Weight of Particle

Go Total Weight of Particle = Effective weight of particle+Force due to buoyancy

Effective Weight of Particle given Buoyancy

Go Effective weight of particle = Total Weight of Particle-Force due to buoyancy

Buoyancy given Effective Weight of Particle

Go Force due to buoyancy = Total Weight of Particle-Effective weight of particle

Unit Weight of Water given Effective Weight of Particle Formula

Unit Weight of Liquid = Unit weight of particle-(Effective weight of particle/((4/3)*pi*(Radius of Particle)^3))
γ_w = γ_s-(W/((4/3)*pi*(r)^3))

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 or 62.43 lbf/ft3. A common symbol for specific weight is γ

How to Calculate Unit Weight of Water given Effective Weight of Particle?

Unit Weight of Water given Effective Weight of Particle calculator uses Unit Weight of Liquid = Unit weight of particle-(Effective weight of particle/((4/3)*pi*(Radius of Particle)^3)) to calculate the Unit Weight of Liquid, Unit Weight of Water given Effective Weight of Particle calculates unit weight of water when we have prior information of other parameters. Unit Weight of Liquid is denoted by γ_w symbol.

How to calculate Unit Weight of Water given Effective Weight of Particle using this online calculator? To use this online calculator for Unit Weight of Water given Effective Weight of Particle, enter Unit weight of particle (γ_s), Effective weight of particle (W) & Radius of Particle (r) and hit the calculate button. Here is how the Unit Weight of Water given Effective Weight of Particle calculation can be explained with given input values -> 9999.94 = 10000-(2/((4/3)*pi*(2)^3)).

FAQ

What is Unit Weight of Water given Effective Weight of Particle?

Unit Weight of Water given Effective Weight of Particle calculates unit weight of water when we have prior information of other parameters and is represented as γ_w = γ_s-(W/((4/3)*pi*(r)^3)) or Unit Weight of Liquid = Unit weight of particle-(Effective weight of particle/((4/3)*pi*(Radius of Particle)^3)). Unit weight of particle is defined as weight per unit volume of the particle, Effective weight of particle is difference between total weight and buoyancy & Radius of Particle is defined as half of the diameter of that particle.

How to calculate Unit Weight of Water given Effective Weight of Particle?

Unit Weight of Water given Effective Weight of Particle calculates unit weight of water when we have prior information of other parameters is calculated using Unit Weight of Liquid = Unit weight of particle-(Effective weight of particle/((4/3)*pi*(Radius of Particle)^3)). To calculate Unit Weight of Water given Effective Weight of Particle, you need Unit weight of particle (γ_s), Effective weight of particle (W) & Radius of Particle (r). With our tool, you need to enter the respective value for Unit weight of particle, Effective weight of particle & Radius of Particle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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