Diameter of Particle given Volume of Particle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter = (6*Volume of One Particle/pi)^(1/3)
D = (6*Vp/pi)^(1/3)
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Diameter - (Measured in Meter) - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
Volume of One Particle - (Measured in Cubic Meter) - The Volume of One Particle is the capacity of a single particle or the volume occupied by one particle.
STEP 1: Convert Input(s) to Base Unit
Volume of One Particle: 90 Cubic Millimeter --> 9E-08 Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = (6*Vp/pi)^(1/3) --> (6*9E-08/pi)^(1/3)
Evaluating ... ...
D = 0.00556008326889128
STEP 3: Convert Result to Output's Unit
0.00556008326889128 Meter --> No Conversion Required
FINAL ANSWER
0.00556008326889128 0.00556 Meter <-- Diameter
(Calculation completed in 00.004 seconds)

Credits

Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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Birsa Institute of Technology (BIT), Sindri
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13 Diameter of Sediment Particle Calculators

Diameter of Particle given Settling Velocity
Go Effective Particle Diameter = 3*Drag Coefficient*Liquid Density*Settling Velocity^2/(4*[g]*(Density of Particle-Liquid Density))
Diameter for Settling Velocity with respect to Kinematic Viscosity
Go Diameter = sqrt(Settling Velocity*18*Kinematic Viscosity/[g]*(Specific gravity of particle-Specific Gravity of Fluid))
Diameter given Settling Velocity in Fahrenheit
Go Diameter = sqrt(Settling Velocity/418*(Specific gravity of particle-Specific Gravity of Fluid)*((Outside Temperature+10)/60))
Diameter given Settling Velocity with respect to Dynamic Viscosity
Go Diameter = sqrt(18*Settling Velocity*Dynamic Viscosity/[g]*(Mass Density-Liquid Density))
Diameter given Settling Velocity given Celsius
Go Diameter = sqrt(Settling Velocity*100/418*(Specific gravity of particle-Specific Gravity of Fluid)*(3*Temperature+70))
Diameter given Displacement Velocity by Camp
Go Diameter = Displacement velocity^2*Darcy Friction Factor/(8*Beta Constant*[g]*(Density of Particle-1))
Diameter given temperature given Celsius for diameter greater than 0.1mm
Go Diameter = Settling Velocity*100/418*(Specific gravity of particle-Specific Gravity of Fluid)*(3*Temperature in Fahrenheit+70)
Diameter given Specific Gravity of Particle and Viscosity
Go Diameter = sqrt(Settling Velocity*Kinematic Viscosity*18/[g]*(Specific gravity of particle-1))
Diameter given temperature given Fahrenheit
Go Diameter = Settling Velocity*60/418*(Specific gravity of particle-Specific Gravity of Fluid)*(Temperature in Fahrenheit+10)
Diameter given Settling Velocity at 10 degree Celsius
Go Diameter = sqrt(Settling Velocity/418*(Specific gravity of particle-Specific Gravity of Fluid))
Diameter of Particle given Settling Velocity with respect to Specific Gravity
Go Diameter = (3*Drag Coefficient*Settling Velocity^2)/(4*[g]*(Specific gravity of particle-1))
Diameter of Particle given Particle Reynold's Number
Go Diameter = Dynamic Viscosity*Reynolds Number/(Liquid Density*Settling Velocity)
Diameter of Particle given Volume of Particle
Go Diameter = (6*Volume of One Particle/pi)^(1/3)

Diameter of Particle given Volume of Particle Formula

Diameter = (6*Volume of One Particle/pi)^(1/3)
D = (6*Vp/pi)^(1/3)

What is volume of particle?

Volume-based particle size equals the diameter of the sphere that has the same volume as a given particle.

How to Calculate Diameter of Particle given Volume of Particle?

Diameter of Particle given Volume of Particle calculator uses Diameter = (6*Volume of One Particle/pi)^(1/3) to calculate the Diameter, Diameter of Particle given Volume of Particle is is any straight line segment that passes through centre of particle and whose endpoints lie on particle. Diameter is denoted by D symbol.

How to calculate Diameter of Particle given Volume of Particle using this online calculator? To use this online calculator for Diameter of Particle given Volume of Particle, enter Volume of One Particle (Vp) and hit the calculate button. Here is how the Diameter of Particle given Volume of Particle calculation can be explained with given input values -> 0.00556 = (6*9E-08/pi)^(1/3).

FAQ

What is Diameter of Particle given Volume of Particle?
Diameter of Particle given Volume of Particle is is any straight line segment that passes through centre of particle and whose endpoints lie on particle and is represented as D = (6*Vp/pi)^(1/3) or Diameter = (6*Volume of One Particle/pi)^(1/3). The Volume of One Particle is the capacity of a single particle or the volume occupied by one particle.
How to calculate Diameter of Particle given Volume of Particle?
Diameter of Particle given Volume of Particle is is any straight line segment that passes through centre of particle and whose endpoints lie on particle is calculated using Diameter = (6*Volume of One Particle/pi)^(1/3). To calculate Diameter of Particle given Volume of Particle, you need Volume of One Particle (Vp). With our tool, you need to enter the respective value for Volume of One Particle 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 Diameter?
In this formula, Diameter uses Volume of One Particle. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Diameter = (3*Drag Coefficient*Settling Velocity^2)/(4*[g]*(Specific gravity of particle-1))
  • Diameter = Dynamic Viscosity*Reynolds Number/(Liquid Density*Settling Velocity)
  • Diameter = sqrt(18*Settling Velocity*Dynamic Viscosity/[g]*(Mass Density-Liquid Density))
  • Diameter = sqrt(Settling Velocity*18*Kinematic Viscosity/[g]*(Specific gravity of particle-Specific Gravity of Fluid))
  • Diameter = sqrt(Settling Velocity*Kinematic Viscosity*18/[g]*(Specific gravity of particle-1))
  • Diameter = sqrt(Settling Velocity/418*(Specific gravity of particle-Specific Gravity of Fluid))
  • Diameter = sqrt(Settling Velocity/418*(Specific gravity of particle-Specific Gravity of Fluid)*((Outside Temperature+10)/60))
  • Diameter = sqrt(Settling Velocity*100/418*(Specific gravity of particle-Specific Gravity of Fluid)*(3*Temperature+70))
  • Diameter = Settling Velocity*60/418*(Specific gravity of particle-Specific Gravity of Fluid)*(Temperature in Fahrenheit+10)
  • Diameter = Settling Velocity*100/418*(Specific gravity of particle-Specific Gravity of Fluid)*(3*Temperature in Fahrenheit+70)
  • Diameter = Displacement velocity^2*Darcy Friction Factor/(8*Beta Constant*[g]*(Density of Particle-1))
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