Radius 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%
✖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 Liquid is the weight of water per unit volume of water.ⓘ Unit Weight of Liquid [γ_w]			+10% -10%

✖Radius of Particle is defined as half of the diameter of that particle.ⓘ Radius of Particle given Effective Weight of Particle [r]

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Formula

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Radius of Particle given Effective Weight of Particle

Formula

`"r" = ("W"/((4/3)*pi)*("γ"_{"s"}-"γ"_{"w"}))^(1/3)`

Example

`"4.493296m"=("2kg"/((4/3)*pi)*("10kN/m³"-"9810N/m³"))^(1/3)`

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Radius of Particle given Effective Weight of Particle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Radius of Particle - (Measured in Meter) - Radius of Particle is defined as half of the diameter of that particle.
Effective weight of particle - (Measured in Kilogram) - Effective weight of particle is difference between total weight and buoyancy.
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

Effective weight of particle: 2 Kilogram --> 2 Kilogram 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

r = (W/((4/3)*pi)*(γ_s-γ_w))^(1/3) --> (2/((4/3)*pi)*(10000-9810))^(1/3)

Evaluating ... ...

r = 4.49329565535024

STEP 3: Convert Result to Output's Unit

4.49329565535024 Meter --> No Conversion Required

FINAL ANSWER

4.49329565535024 ≈ 4.493296 Meter <-- Radius of Particle

(Calculation completed in 00.004 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

Radius of Particle given Effective Weight of Particle Formula

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

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

How to Calculate Radius of Particle given Effective Weight of Particle?

Radius of Particle given Effective Weight of Particle calculator uses Radius of Particle = (Effective weight of particle/((4/3)*pi)*(Unit weight of particle-Unit Weight of Liquid))^(1/3) to calculate the Radius of Particle, Radius of Particle given Effective Weight of Particle calculates radius of particle when we have prior information of other parameters. Radius of Particle is denoted by r symbol.

How to calculate Radius of Particle given Effective Weight of Particle using this online calculator? To use this online calculator for Radius of Particle given Effective Weight of Particle, enter Effective weight of particle (W), Unit weight of particle (γ_s) & Unit Weight of Liquid (γ_w) and hit the calculate button. Here is how the Radius of Particle given Effective Weight of Particle calculation can be explained with given input values -> 4.493296 = (2/((4/3)*pi)*(10000-9810))^(1/3).

FAQ

What is Radius of Particle given Effective Weight of Particle?

Radius of Particle given Effective Weight of Particle calculates radius of particle when we have prior information of other parameters and is represented as r = (W/((4/3)*pi)*(γ_s-γ_w))^(1/3) or Radius of Particle = (Effective weight of particle/((4/3)*pi)*(Unit weight of particle-Unit Weight of Liquid))^(1/3). Effective weight of particle is difference between total weight and buoyancy, 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 Radius of Particle given Effective Weight of Particle?

Radius of Particle given Effective Weight of Particle calculates radius of particle when we have prior information of other parameters is calculated using Radius of Particle = (Effective weight of particle/((4/3)*pi)*(Unit weight of particle-Unit Weight of Liquid))^(1/3). To calculate Radius of Particle given Effective Weight of Particle, you need Effective weight of particle (W), Unit weight of particle (γ_s) & Unit Weight of Liquid (γ_w). With our tool, you need to enter the respective value for Effective weight 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.

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