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Diameter of Sphere given Coefficient of Drag Formula

GoDiameter of Sphere given Resistance Force on Spherical Surface Formula

GoDiameter of Sphere for given Fall Velocity 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 = \frac{24 \cdot μ}{ρ \cdot V mean \cdot C D}

D_S - Diameter of Sphere?μ - Dynamic Viscosity?ρ - Density of Fluid?V_mean - Mean Velocity?C_D - Coefficient of Drag?

Diameter of Sphere given Coefficient of Drag Example

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Here is how the Diameter of Sphere given Coefficient of Drag equation looks like with Values.

Here is how the Diameter of Sphere given Coefficient of Drag equation looks like with Units.

Here is how the Diameter of Sphere given Coefficient of Drag equation looks like.

0.2424 = \frac{24 \cdot 10.2}{1000 \cdot 10.1 \cdot 0.01}

0.2424m = \frac{24 \cdot 10.2P}{1000kg/m³ \cdot 10.1m/s \cdot 0.01}

0.2424 = \frac{24 \cdot 10.2}{1000 \cdot 10.1 \cdot 0.01}

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Diameter of Sphere given Coefficient of Drag Solution

Follow our step by step solution on how to calculate Diameter of Sphere given Coefficient of Drag?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D S = \frac{24 \cdot 10.2P}{1000kg/m³ \cdot 10.1m/s \cdot 0.01}

Next Step Convert Units

∴

D S = \frac{24 \cdot 1.02Pa*s}{1000kg/m³ \cdot 10.1m/s \cdot 0.01}

Next Step Prepare to Evaluate

∴

D S = \frac{24 \cdot 1.02}{1000 \cdot 10.1 \cdot 0.01}

Next Step Evaluate

∴

D S = 0.242376237623762m

LAST Step Rounding Answer

∴

D S = 0.2424m

Diameter of Sphere given Coefficient of Drag Formula Elements

Variables

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

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

Density of Fluid

Density of Fluid is the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Fluid

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

Coefficient of Drag

The Coefficient of Drag is a 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 Coefficient of Drag

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 for given Fall Velocity

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

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 given Coefficient of Drag?

Diameter of Sphere given Coefficient of Drag evaluator uses Diameter of Sphere = (24*Dynamic Viscosity)/(Density of Fluid*Mean Velocity*Coefficient of Drag) to evaluate the Diameter of Sphere, The Diameter of Sphere given Coefficient of Drag is defined as the sectional dimension of sphere with which ball or sphere is moving. Diameter of Sphere is denoted by D_S symbol.

How to evaluate Diameter of Sphere given Coefficient of Drag using this online evaluator? To use this online evaluator for Diameter of Sphere given Coefficient of Drag, enter Dynamic Viscosity (μ), Density of Fluid (ρ), Mean Velocity (V_mean) & Coefficient of Drag (C_D) and hit the calculate button.

FAQs on Diameter of Sphere given Coefficient of Drag

What is the formula to find Diameter of Sphere given Coefficient of Drag?

The formula of Diameter of Sphere given Coefficient of Drag is expressed as Diameter of Sphere = (24*Dynamic Viscosity)/(Density of Fluid*Mean Velocity*Coefficient of Drag). Here is an example- 0.242376 = (24*1.02)/(1000*10.1*0.01).

How to calculate Diameter of Sphere given Coefficient of Drag?

With Dynamic Viscosity (μ), Density of Fluid (ρ), Mean Velocity (V_mean) & Coefficient of Drag (C_D) we can find Diameter of Sphere given Coefficient of Drag using the formula - Diameter of Sphere = (24*Dynamic Viscosity)/(Density of Fluid*Mean Velocity*Coefficient of Drag).

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=sqrt((Mean Velocity*18*Dynamic Viscosity)/(Specific Weight of Liquid))

Can the Diameter of Sphere given Coefficient of Drag be negative?

No, the Diameter of Sphere given Coefficient of Drag, measured in Length cannot be negative.

Which unit is used to measure Diameter of Sphere given Coefficient of Drag?

Diameter of Sphere given Coefficient of Drag 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 given Coefficient of Drag can be measured.

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Diameter of Sphere given Coefficient of Drag Formula

​GoDiameter of Sphere given Resistance Force on Spherical Surface Formula

​GoDiameter of Sphere for given Fall Velocity Formula

Diameter of Sphere given Coefficient of Drag Example

Diameter of Sphere given Coefficient of Drag Solution

Diameter of Sphere given Coefficient of Drag 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 given Coefficient of Drag?

FAQs on Diameter of Sphere given Coefficient of Drag

Variable Name

GoDiameter of Sphere given Resistance Force on Spherical Surface Formula

GoDiameter of Sphere for given Fall Velocity Formula