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

GoDiameter of Particle given Volume of Particle Formula

GoDiameter of Particle given Settling Velocity Formula

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

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

d - Diameter of a Spherical Particle?C_D - Drag Coefficient?v_s - Settling Velocity of Particles?G_s - Specific Gravity of Spherical Particle?[g] - Gravitational acceleration on Earth?

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

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Here is how the Diameter of Particle given Settling Velocity with respect to Specific Gravity equation looks like with Values.

Here is how the Diameter of Particle given Settling Velocity with respect to Specific Gravity equation looks like with Units.

Here is how the Diameter of Particle given Settling Velocity with respect to Specific Gravity equation looks like.

0.0001 = \frac{3 \cdot 1200 \cdot {0.0016}^{2}}{4 \cdot 9.8066 \cdot (2.7 - 1)}

0.0001m = \frac{3 \cdot 1200 \cdot {0.0016m/s}^{2}}{4 \cdot 9.8066m/s² \cdot (2.7 - 1)}

0.0001 = \frac{3 \cdot 1200 \cdot {0.0016}^{2}}{4 \cdot 9.8066 \cdot (2.7 - 1)}

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

Follow our step by step solution on how to calculate Diameter of Particle given Settling Velocity with respect to Specific Gravity?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = \frac{3 \cdot 1200 \cdot {0.0016m/s}^{2}}{4 \cdot [g] \cdot (2.7 - 1)}

Next Step Substitute values of Constants

∴

d = \frac{3 \cdot 1200 \cdot {0.0016m/s}^{2}}{4 \cdot 9.8066m/s² \cdot (2.7 - 1)}

Next Step Prepare to Evaluate

∴

d = \frac{3 \cdot 1200 \cdot {0.0016}^{2}}{4 \cdot 9.8066 \cdot (2.7 - 1)}

Next Step Evaluate

∴

d = 0.000138201538511832m

LAST Step Rounding Answer

∴

d = 0.0001m

Diameter of Particle given Settling Velocity with respect to Specific Gravity 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

Drag Coefficient

The Drag Coefficient refers to the dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.

Symbol: C_D

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Drag Coefficient

Settling Velocity of Particles

Settling Velocity of particles refers to the rate at which a particle sinks through a fluid under the influence of gravity.

Symbol: v_s

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Settling Velocity of Particles

Specific Gravity of Spherical Particle

The Specific Gravity of Spherical Particle is the ratio of its density to the density of water (at 4°C).

Symbol: G_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Specific Gravity of Spherical Particle

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other Formulas to find Diameter of a Spherical Particle

Go Diameter of Particle given Volume of Particle

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

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 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 Settling Velocity with respect to Specific Gravity?

Diameter of Particle given Settling Velocity with respect to Specific Gravity evaluator uses Diameter of a Spherical Particle = (3*Drag Coefficient*Settling Velocity of Particles^2)/(4*[g]*(Specific Gravity of Spherical Particle-1)) to evaluate the Diameter of a Spherical Particle, The Diameter of Particle given Settling Velocity with respect to Specific Gravity formula is defined as the the size or diameter of a particle that is calculated based on its settling velocity in a fluid, taking into account the specific gravity of the particle. Diameter of a Spherical Particle is denoted by d symbol.

How to evaluate Diameter of Particle given Settling Velocity with respect to Specific Gravity using this online evaluator? To use this online evaluator for Diameter of Particle given Settling Velocity with respect to Specific Gravity, enter Drag Coefficient (C_D), Settling Velocity of Particles (v_s) & Specific Gravity of Spherical Particle (G_s) and hit the calculate button.

FAQs on Diameter of Particle given Settling Velocity with respect to Specific Gravity

What is the formula to find Diameter of Particle given Settling Velocity with respect to Specific Gravity?

The formula of Diameter of Particle given Settling Velocity with respect to Specific Gravity is expressed as Diameter of a Spherical Particle = (3*Drag Coefficient*Settling Velocity of Particles^2)/(4*[g]*(Specific Gravity of Spherical Particle-1)). Here is an example- 0.000138 = (3*1200*0.0016^2)/(4*[g]*(2.7-1)).

How to calculate Diameter of Particle given Settling Velocity with respect to Specific Gravity?

With Drag Coefficient (C_D), Settling Velocity of Particles (v_s) & Specific Gravity of Spherical Particle (G_s) we can find Diameter of Particle given Settling Velocity with respect to Specific Gravity using the formula - Diameter of a Spherical Particle = (3*Drag Coefficient*Settling Velocity of Particles^2)/(4*[g]*(Specific Gravity of Spherical Particle-1)). This formula also uses Gravitational acceleration on Earth constant(s).

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=(6*Volume of One Particle/pi)^(1/3)
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=(Dynamic Viscosity*Reynold Number)/(Mass Density of Fluid*Settling Velocity of Particles)

Can the Diameter of Particle given Settling Velocity with respect to Specific Gravity be negative?

No, the Diameter of Particle given Settling Velocity with respect to Specific Gravity, measured in Length cannot be negative.

Which unit is used to measure Diameter of Particle given Settling Velocity with respect to Specific Gravity?

Diameter of Particle given Settling Velocity with respect to Specific Gravity 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 Settling Velocity with respect to Specific Gravity can be measured.

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

​GoDiameter of Particle given Volume of Particle Formula

​GoDiameter of Particle given Settling Velocity Formula

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

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

Diameter of Particle given Settling Velocity with respect to Specific Gravity Formula Elements

Other Formulas to find Diameter of a Spherical Particle

How to Evaluate Diameter of Particle given Settling Velocity with respect to Specific Gravity?

FAQs on Diameter of Particle given Settling Velocity with respect to Specific Gravity

Variable Name

GoDiameter of Particle given Volume of Particle Formula

GoDiameter of Particle given Settling Velocity Formula