Unit weight of Particle given Effective Weight of Particle Calculator

✖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 Liquid [γ_w]			+10% -10%

✖Unit weight of particle is defined as weight per unit volume of the particle.ⓘ Unit weight of Particle given Effective Weight of Particle [γ_s]

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Formula

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Unit weight of Particle given Effective Weight of Particle

Formula

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

Example

`"9.81006kN/m³"=("2kg"/((4/3)*pi*("2m")^3))+"9810N/m³"`

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Unit weight of Particle given Effective Weight of Particle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Unit Weight of Liquid - (Measured in Newton per Cubic Meter) - Unit Weight of Liquid is the weight of water per unit volume of water.

STEP 1: Convert Input(s) to Base Unit

Effective weight of particle: 2 Kilogram --> 2 Kilogram No Conversion Required
Radius of Particle: 2 Meter --> 2 Meter No Conversion Required
Unit Weight of Liquid: 9810 Newton per Cubic Meter --> 9810 Newton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ_s = (W/((4/3)*pi*(r)^3))+γ_w --> (2/((4/3)*pi*(2)^3))+9810

Evaluating ... ...

γ_s = 9810.05968310366

STEP 3: Convert Result to Output's Unit

9810.05968310366 Newton per Cubic Meter -->9.81005968310366 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

9.81005968310366 ≈ 9.81006 Kilonewton per Cubic Meter <-- Unit weight of particle

(Calculation completed in 00.007 seconds)

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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 Particle given Effective Weight of Particle Formula

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

What is unit weight?

Unit weight is also known by the name specific weight. Unit weight of the soil is the total weight of the soil divided by total volume. Total weight of soil also includes weight of water. Total volume occupied includes the volume of water as well as the volume of air along with the soil volume.

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

Unit weight of Particle given Effective Weight of Particle calculator uses Unit weight of particle = (Effective weight of particle/((4/3)*pi*(Radius of Particle)^3))+Unit Weight of Liquid to calculate the Unit weight of particle, Unit weight of Particle given Effective Weight of Particle is total weight of particle divided by total volume. Unit weight of particle is denoted by γ_s symbol.

How to calculate Unit weight of Particle given Effective Weight of Particle using this online calculator? To use this online calculator for Unit weight of Particle given Effective Weight of Particle, enter Effective weight of particle (W), Radius of Particle (r) & Unit Weight of Liquid (γ_w) and hit the calculate button. Here is how the Unit weight of Particle given Effective Weight of Particle calculation can be explained with given input values -> 0.00981 = (2/((4/3)*pi*(2)^3))+9810.

FAQ

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

Unit weight of Particle given Effective Weight of Particle is total weight of particle divided by total volume and is represented as γ_s = (W/((4/3)*pi*(r)^3))+γ_w or Unit weight of particle = (Effective weight of particle/((4/3)*pi*(Radius of Particle)^3))+Unit Weight of Liquid. Effective weight of particle is difference between total weight and buoyancy, Radius of Particle is defined as half of the diameter of that particle & Unit Weight of Liquid is the weight of water per unit volume of water.

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

Unit weight of Particle given Effective Weight of Particle is total weight of particle divided by total volume is calculated using Unit weight of particle = (Effective weight of particle/((4/3)*pi*(Radius of Particle)^3))+Unit Weight of Liquid. To calculate Unit weight of Particle given Effective Weight of Particle, you need Effective weight of particle (W), Radius of Particle (r) & Unit Weight of Liquid (γ_w). With our tool, you need to enter the respective value for Effective weight of particle, Radius of Particle & Unit Weight of Liquid 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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