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Diameter of Particle given Volume of Particle Formula

GoDiameter of Particle given Settling Velocity Formula

GoDiameter of Particle given Settling Velocity with respect to Specific Gravity Formula

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The Diameter of a Spherical Particle is the distance across the sphere, passing through its center. Check FAQs

d = {(6 \cdot \frac{V p}{π})}^{\frac{1}{3}}

d - Diameter of a Spherical Particle?V_p - Volume of One Particle?π - Archimedes' constant?

Diameter of Particle given Volume of Particle Example

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Here is how the Diameter of Particle given Volume of Particle equation looks like with Values.

Here is how the Diameter of Particle given Volume of Particle equation looks like with Units.

Here is how the Diameter of Particle given Volume of Particle equation looks like.

0.0013 = {(6 \cdot \frac{1.15}{3.1416})}^{\frac{1}{3}}

0.0013m = {(6 \cdot \frac{1.15mm³}{3.1416})}^{\frac{1}{3}}

0.0013 = {(6 \cdot \frac{1.15}{3.1416})}^{\frac{1}{3}}

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Diameter of Particle given Volume of Particle Solution

Follow our step by step solution on how to calculate Diameter of Particle given Volume of Particle?

FIRST Step Consider the formula

d = {(6 \cdot \frac{V p}{π})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

d = {(6 \cdot \frac{1.15mm³}{π})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d = {(6 \cdot \frac{1.15mm³}{3.1416})}^{\frac{1}{3}}

Next Step Convert Units

∴

d = {(6 \cdot \frac{1.2E-9m³}{3.1416})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d = {(6 \cdot \frac{1.2E-9}{3.1416})}^{\frac{1}{3}}

Next Step Evaluate

∴

d = 0.00129986945724041m

LAST Step Rounding Answer

∴

d = 0.0013m

Diameter of Particle given Volume of Particle Formula Elements

Variables

Constants

Diameter of a Spherical Particle

The Diameter of a Spherical Particle is the distance across the sphere, passing through its center.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of a Spherical Particle

Volume of One Particle

The Volume of One Particle is the capacity of a single particle or the volume occupied by one particle.

Symbol: V_p

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Volume of One Particle

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Diameter of a Spherical Particle

Go Diameter of Particle given Settling Velocity

d = \frac{3 \cdot C D \cdot ρ f \cdot {v s}^{2}}{4 \cdot [g] \cdot (ρ m - ρ f)}

Go Diameter of Particle given Settling Velocity with respect to Specific Gravity

d = \frac{3 \cdot C D \cdot {v s}^{2}}{4 \cdot [g] \cdot (G s - 1)}

Go Diameter of Particle given Particle Reynold's Number

d = \frac{μ viscosity \cdot Re}{ρ f \cdot v s}

Go Diameter given Settling Velocity with respect to Dynamic Viscosity

d = \sqrt{\frac{18 \cdot v s \cdot μ viscosity}{[g] \cdot (ρ m - ρ f)}}

How to Evaluate Diameter of Particle given Volume of Particle?

Diameter of Particle given Volume of Particle evaluator uses Diameter of a Spherical Particle = (6*Volume of One Particle/pi)^(1/3) to evaluate 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 evaluate Diameter of Particle given Volume of Particle using this online evaluator? To use this online evaluator for Diameter of Particle given Volume of Particle, enter Volume of One Particle (V_p) and hit the calculate button.

FAQs on Diameter of Particle given Volume of Particle

What is the formula to find Diameter of Particle given Volume of Particle?

The formula of Diameter of Particle given Volume of Particle is expressed as Diameter of a Spherical Particle = (6*Volume of One Particle/pi)^(1/3). Here is an example- 0.0013 = (6*1.15E-09/pi)^(1/3).

How to calculate Diameter of Particle given Volume of Particle?

With Volume of One Particle (V_p) we can find Diameter of Particle given Volume of Particle using the formula - Diameter of a Spherical Particle = (6*Volume of One Particle/pi)^(1/3). This formula also uses Archimedes' constant .

What are the other ways to Calculate Diameter of a Spherical Particle?

Here are the different ways to Calculate Diameter of a Spherical Particle-

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)

Can the Diameter of Particle given Volume of Particle be negative?

No, the Diameter of Particle given Volume of Particle, measured in Length cannot be negative.

Which unit is used to measure Diameter of Particle given Volume of Particle?

Diameter of Particle given Volume of Particle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Particle given Volume of Particle can be measured.

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