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Diameter of Sphere for given Fall Velocity Formula

GoDiameter of Sphere given Resistance Force on Spherical Surface Formula

GoDiameter of Sphere given Coefficient of Drag Formula

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The Diameter of Sphere refers to the longest line that is inside the sphere and that passes through the center of the sphere. Check FAQs

D S = \sqrt{\frac{V mean \cdot 18 \cdot μ}{γ f}}

D_S - Diameter of Sphere?V_mean - Mean Velocity?μ - Dynamic Viscosity?γ_f - Specific Weight of Liquid?

Diameter of Sphere for given Fall Velocity Example

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Here is how the Diameter of Sphere for given Fall Velocity equation looks like with Values.

Here is how the Diameter of Sphere for given Fall Velocity equation looks like with Units.

Here is how the Diameter of Sphere for given Fall Velocity equation looks like.

0.0137 = \sqrt{\frac{10.1 \cdot 18 \cdot 10.2}{9.81}}

0.0137m = \sqrt{\frac{10.1m/s \cdot 18 \cdot 10.2P}{9.81kN/m³}}

0.0137 = \sqrt{\frac{10.1 \cdot 18 \cdot 10.2}{9.81}}

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Diameter of Sphere for given Fall Velocity Solution

Follow our step by step solution on how to calculate Diameter of Sphere for given Fall Velocity?

FIRST Step Consider the formula

D S = \sqrt{\frac{V mean \cdot 18 \cdot μ}{γ f}}

Next Step Substitute values of Variables

∴

D S = \sqrt{\frac{10.1m/s \cdot 18 \cdot 10.2P}{9.81kN/m³}}

Next Step Convert Units

∴

D S = \sqrt{\frac{10.1m/s \cdot 18 \cdot 0.0102kP}{9810N/m³}}

Next Step Prepare to Evaluate

∴

D S = \sqrt{\frac{10.1 \cdot 18 \cdot 0.0102}{9810}}

Next Step Evaluate

∴

D S = 0.0137487280479243m

LAST Step Rounding Answer

∴

D S = 0.0137m

Diameter of Sphere for given Fall Velocity Formula Elements

Variables

Functions

Diameter of Sphere

The Diameter of Sphere refers to the longest line that is inside the sphere and that passes through the center of the sphere.

Symbol: D_S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Sphere

Mean Velocity

Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

Symbol: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

Dynamic Viscosity

The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Specific Weight of Liquid

The Specific Weight of Liquid refers to the weight per unit volume of that substance.

Symbol: γ_f

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Specific Weight of Liquid

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Diameter of Sphere

Go Diameter of Sphere given Resistance Force on Spherical Surface

D S = \frac{F resistance}{3 \cdot π \cdot μ \cdot V mean}

Go Diameter of Sphere given Coefficient of Drag

D S = \frac{24 \cdot μ}{ρ \cdot V mean \cdot C D}

Other formulas in Laminar Flow around a Sphere Stokes’ Law category

Go Resistance Force on Spherical Surface

F resistance = 3 \cdot π \cdot μ \cdot V mean \cdot D S

Go Velocity of Sphere given Resistance Force on Spherical Surface

V mean = \frac{F resistance}{3 \cdot π \cdot μ \cdot D S}

Go Dynamic Viscosity of fluid given Resistance Force on Spherical Surface

μ = \frac{F resistance}{3 \cdot π \cdot D S \cdot V mean}

Go Resistance Force on Spherical Surface given Specific Weights

F resistance = (\frac{π}{6}) \cdot ({D S}^{3}) \cdot (γ f)

How to Evaluate Diameter of Sphere for given Fall Velocity?

Diameter of Sphere for given Fall Velocity evaluator uses Diameter of Sphere = sqrt((Mean Velocity*18*Dynamic Viscosity)/(Specific Weight of Liquid)) to evaluate the Diameter of Sphere, The Diameter of Sphere for given Fall Velocity is defined as the width of the section of the sphere in the flow. Diameter of Sphere is denoted by D_S symbol.

How to evaluate Diameter of Sphere for given Fall Velocity using this online evaluator? To use this online evaluator for Diameter of Sphere for given Fall Velocity, enter Mean Velocity (V_mean), Dynamic Viscosity (μ) & Specific Weight of Liquid (γ_f) and hit the calculate button.

FAQs on Diameter of Sphere for given Fall Velocity

What is the formula to find Diameter of Sphere for given Fall Velocity?

The formula of Diameter of Sphere for given Fall Velocity is expressed as Diameter of Sphere = sqrt((Mean Velocity*18*Dynamic Viscosity)/(Specific Weight of Liquid)). Here is an example- 0.013749 = sqrt((10.1*18*1.02)/(9810)).

How to calculate Diameter of Sphere for given Fall Velocity?

With Mean Velocity (V_mean), Dynamic Viscosity (μ) & Specific Weight of Liquid (γ_f) we can find Diameter of Sphere for given Fall Velocity using the formula - Diameter of Sphere = sqrt((Mean Velocity*18*Dynamic Viscosity)/(Specific Weight of Liquid)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Diameter of Sphere?

Here are the different ways to Calculate Diameter of Sphere-

Diameter of Sphere=Resistance Force/(3*pi*Dynamic Viscosity*Mean Velocity)
Diameter of Sphere=(24*Dynamic Viscosity)/(Density of Fluid*Mean Velocity*Coefficient of Drag)

Can the Diameter of Sphere for given Fall Velocity be negative?

No, the Diameter of Sphere for given Fall Velocity, measured in Length cannot be negative.

Which unit is used to measure Diameter of Sphere for given Fall Velocity?

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

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Diameter of Sphere for given Fall Velocity Formula

​GoDiameter of Sphere given Resistance Force on Spherical Surface Formula

​GoDiameter of Sphere given Coefficient of Drag Formula

Diameter of Sphere for given Fall Velocity Example

Diameter of Sphere for given Fall Velocity Solution

Diameter of Sphere for given Fall Velocity Formula Elements

Other Formulas to find Diameter of Sphere

Other formulas in Laminar Flow around a Sphere Stokes’ Law category

How to Evaluate Diameter of Sphere for given Fall Velocity?

FAQs on Diameter of Sphere for given Fall Velocity

Variable Name

GoDiameter of Sphere given Resistance Force on Spherical Surface Formula

GoDiameter of Sphere given Coefficient of Drag Formula