Effective Weight of Particle Calculator

✖Radius of Particle is the distance from the center of a spherical particle to its outer edge.ⓘ Radius of Particle [r]			+10% -10%
✖Unit Weight of Particle is defined as weight per unit volume of the particle.ⓘ Unit Weight of Particle [γ_s]			+10% -10%
✖Unit Weight of Water is the ratio of total weight to the total volume of water.ⓘ Unit Weight of Water [γ_w]			+10% -10%

✖Effective Weight of Particle is difference between total weight and buoyancy.ⓘ Effective Weight of Particle [W]

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Effective Weight of Particle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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 the distance from the center of a spherical particle to its outer edge.
Unit Weight of Particle - (Measured in Newton per Cubic Meter) - Unit Weight of Particle is defined as weight per unit volume of the particle.
Unit Weight of Water - (Measured in Newton per Cubic Meter) - Unit Weight of Water is the ratio of total weight to the total volume of water.

STEP 1: Convert Input(s) to Base Unit

Radius of Particle: 2 Meter --> 2 Meter No Conversion Required
Unit Weight of Particle: 10 Kilonewton per Cubic Meter --> 10000 Newton per Cubic Meter (Check conversion here)
Unit Weight of Water: 9810 Newton per Cubic Meter --> 9810 Newton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = ((4/3)*pi*(r)^3)*(γ_s-γ_w) --> ((4/3)*pi*(2)^3)*(10000-9810)

Evaluating ... ...

W = 6366.96111127531

STEP 3: Convert Result to Output's Unit

6366.96111127531 Kilogram --> No Conversion Required

FINAL ANSWER

6366.96111127531 ≈ 6366.961 Kilogram <-- Effective Weight of Particle

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Effective Weight of Particle Calculators

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 Water

Unit Weight of Water given Effective Weight of Particle

Go Unit Weight of Water = 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 Water)

Effective Weight of Particle given Buoyancy

Go Effective Weight of Particle = Total Weight of Particle-Force due to Buoyancy

Effective Weight of Particle Formula

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

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. The terms specific gravity, and less often specific weight, are also used for relative density.

How to Calculate Effective Weight of Particle?

Effective Weight of Particle calculator uses Effective Weight of Particle = ((4/3)*pi*(Radius of Particle)^3)*(Unit Weight of Particle-Unit Weight of Water) to calculate the Effective Weight of Particle, The Effective Weight of Particle is net weight acting downward when particle is placed in fluid. Effective Weight of Particle is denoted by W symbol.

How to calculate Effective Weight of Particle using this online calculator? To use this online calculator for Effective Weight of Particle, enter Radius of Particle (r), Unit Weight of Particle (γ_s) & Unit Weight of Water (γ_w) and hit the calculate button. Here is how the Effective Weight of Particle calculation can be explained with given input values -> 6366.961 = ((4/3)*pi*(2)^3)*(10000-9810).

FAQ

What is Effective Weight of Particle?

The Effective Weight of Particle is net weight acting downward when particle is placed in fluid and is represented as W = ((4/3)*pi*(r)^3)*(γ_s-γ_w) or Effective Weight of Particle = ((4/3)*pi*(Radius of Particle)^3)*(Unit Weight of Particle-Unit Weight of Water). Radius of Particle is the distance from the center of a spherical particle to its outer edge, Unit Weight of Particle is defined as weight per unit volume of the particle & Unit Weight of Water is the ratio of total weight to the total volume of water.

How to calculate Effective Weight of Particle?

The Effective Weight of Particle is net weight acting downward when particle is placed in fluid is calculated using Effective Weight of Particle = ((4/3)*pi*(Radius of Particle)^3)*(Unit Weight of Particle-Unit Weight of Water). To calculate Effective Weight of Particle, you need Radius of Particle (r), Unit Weight of Particle (γ_s) & Unit Weight of Water (γ_w). With our tool, you need to enter the respective value for Radius of Particle, Unit Weight of Particle & Unit Weight of Water 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 Effective Weight of Particle?

In this formula, Effective Weight of Particle uses Radius of Particle, Unit Weight of Particle & Unit Weight of Water. We can use 1 other way(s) to calculate the same, which is/are as follows -

Effective Weight of Particle = Total Weight of Particle-Force due to Buoyancy

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