Diameter of Particle given Volume of Particle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of a Spherical Particle = (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 of a Spherical Particle - (Measured in Meter) - The Diameter of a Spherical Particle is the distance across the sphere, passing through its center.
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: 1.15 Cubic Millimeter --> 1.15E-09 Cubic Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = (6*Vp/pi)^(1/3) --> (6*1.15E-09/pi)^(1/3)
Evaluating ... ...
d = 0.00129986945724041
STEP 3: Convert Result to Output's Unit
0.00129986945724041 Meter --> No Conversion Required
FINAL ANSWER
0.00129986945724041 0.0013 Meter <-- Diameter of a Spherical Particle
(Calculation completed in 00.004 seconds)

Credits

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Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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Verified by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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​ LaTeX ​ Go Diameter of a Spherical Particle = (3*Drag Coefficient*Mass Density of Fluid*Settling Velocity of Particles^2)/(4*[g]*(Mass Density of Particles-Mass Density of Fluid))
Diameter of Particle given Settling Velocity with respect to Specific Gravity
​ LaTeX ​ Go Diameter of a Spherical Particle = (3*Drag Coefficient*Settling Velocity of Particles^2)/(4*[g]*(Specific Gravity of Spherical Particle-1))
Diameter of Particle given Particle Reynold's Number
​ LaTeX ​ Go Diameter of a Spherical Particle = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Settling Velocity of Particles)
Diameter of Particle given Volume of Particle
​ LaTeX ​ Go Diameter of a Spherical Particle = (6*Volume of One Particle/pi)^(1/3)

Diameter of Particle given Volume of Particle Formula

​LaTeX ​Go
Diameter of a Spherical Particle = (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 of a Spherical Particle = (6*Volume of One Particle/pi)^(1/3) to calculate the Diameter of a Spherical Particle, The Diameter of Particle given Volume of Particle formula is defined as the size or the linear distance across the particle, assuming a spherical shape, determined using the relationship between the particle's volume and its diameter. Diameter of a Spherical Particle 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 -> 0.0013 = (6*1.15E-09/pi)^(1/3).

FAQ

What is Diameter of Particle given Volume of Particle?
The Diameter of Particle given Volume of Particle formula is defined as the size or the linear distance across the particle, assuming a spherical shape, determined using the relationship between the particle's volume and its diameter and is represented as d = (6*Vp/pi)^(1/3) or Diameter of a Spherical Particle = (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?
The Diameter of Particle given Volume of Particle formula is defined as the size or the linear distance across the particle, assuming a spherical shape, determined using the relationship between the particle's volume and its diameter is calculated using Diameter of a Spherical Particle = (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 of a Spherical Particle?
In this formula, Diameter of a Spherical Particle uses Volume of One Particle. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Diameter of a Spherical Particle = (3*Drag Coefficient*Mass Density of Fluid*Settling Velocity of Particles^2)/(4*[g]*(Mass Density of Particles-Mass Density of Fluid))
  • Diameter of a Spherical Particle = (3*Drag Coefficient*Settling Velocity of Particles^2)/(4*[g]*(Specific Gravity of Spherical Particle-1))
  • Diameter of a Spherical Particle = (Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Settling Velocity of Particles)
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