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_p]			+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%

✖Radius of Particle is the measure of the distance from the center of a particle to its outer surface.ⓘ Radius of Particle given Effective Weight of Particle [r_p]

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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 Water))^(1/3)
r_p = (W_p/((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 the measure of the distance from the center of a particle to its outer surface.
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 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

Effective Weight of Particle: 0.099 Gram --> 9.9E-05 Kilogram (Check conversion here)
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

r_p = (W_p/((4/3)*pi)*(γ_s-γ_w))^(1/3) --> (9.9E-05/((4/3)*pi)*(10000-9810))^(1/3)

Evaluating ... ...

r_p = 0.164980796287696

STEP 3: Convert Result to Output's Unit

0.164980796287696 Meter --> No Conversion Required

FINAL ANSWER

0.164980796287696 ≈ 0.164981 Meter <-- Radius of Particle

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Effective Weight of Particle Calculators

Effective Weight of Particle

LaTeX Go Effective Weight of Particle = ((4/3)*pi*(Radius of Particle)^3)*(Unit Weight of Particle-Unit Weight of Water)

Unit weight of Particle given Effective Weight of Particle

LaTeX Go Unit Weight of Particle = (Effective Weight of Particle/((4/3)*pi*(Radius)^3))+Unit Weight of Water

Unit Weight of Water given Effective Weight of Particle

LaTeX Go Unit Weight of Water = Unit Weight of Particle-(Effective Weight of Particle/((4/3)*pi*(Radius)^3))

Effective Weight of Particle given Buoyancy

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

Radius of Particle given Effective Weight of Particle Formula

LaTeX Go

Radius of Particle = (Effective Weight of Particle/((4/3)*pi)*(Unit Weight of Particle-Unit Weight of Water))^(1/3)
r_p = (W_p/((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 Water))^(1/3) to calculate the Radius of Particle, The Radius of Particle given Effective Weight of Particle formula is defined as the calculation of radius of particle when we have prior information of effective weight of particle. Radius of Particle is denoted by r_p 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_p), Unit Weight of Particle (γ_s) & Unit Weight of Water (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 -> 0.164981 = (9.9E-05/((4/3)*pi)*(10000-9810))^(1/3).

FAQ

What is Radius of Particle given Effective Weight of Particle?

The Radius of Particle given Effective Weight of Particle formula is defined as the calculation of radius of particle when we have prior information of effective weight of particle and is represented as r_p = (W_p/((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 Water))^(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 Water is the ratio of total weight to the total volume of water.

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

The Radius of Particle given Effective Weight of Particle formula is defined as the calculation of radius of particle when we have prior information of effective weight of particle is calculated using Radius of Particle = (Effective Weight of Particle/((4/3)*pi)*(Unit Weight of Particle-Unit Weight of Water))^(1/3). To calculate Radius of Particle given Effective Weight of Particle, you need Effective Weight of Particle (W_p), Unit Weight of Particle (γ_s) & Unit Weight of Water (γ_w). With our tool, you need to enter the respective value for Effective Weight 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.

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