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 Liquid)
W = ((4/3)*pi*(r)^3)*(γs-γw)
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 defined as half of the diameter of that particle.
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 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
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 Liquid: 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)*(γsw) --> ((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)

Credits

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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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

Effective Weight of Particle Formula

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

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 Liquid) 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 s) & Unit Weight of Liquid 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)*(γsw) or Effective weight of particle = ((4/3)*pi*(Radius of Particle)^3)*(Unit weight of particle-Unit Weight of Liquid). Radius of Particle is defined as half of the diameter of that particle, Unit weight of particle is defined as weight per unit volume of the particle & Unit Weight of Liquid is the weight of water per unit 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 Liquid). To calculate Effective Weight of Particle, you need Radius of Particle (r), Unit weight of particle s) & Unit Weight of Liquid w). With our tool, you need to enter the respective value for Radius of Particle, Unit weight 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.
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 Liquid. 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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