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Velocity of Sphere given Drag Force Formula

GoVelocity of Sphere given Resistance Force on Spherical Surface Formula

GoVelocity of Sphere given Coefficient of Drag Formula

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

V mean = \sqrt{\frac{F D}{A \cdot C D \cdot ρ \cdot 0.5}}

V_mean - Mean Velocity?F_D - Drag Force?A - Cross Sectional Area of Pipe?C_D - Coefficient of Drag?ρ - Density of Fluid?

Velocity of Sphere given Drag Force Example

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Here is how the Velocity of Sphere given Drag Force equation looks like with Values.

Here is how the Velocity of Sphere given Drag Force equation looks like with Units.

Here is how the Velocity of Sphere given Drag Force equation looks like.

10.4881 = \sqrt{\frac{1.1}{2 \cdot 0.01 \cdot 1000 \cdot 0.5}}

10.4881m/s = \sqrt{\frac{1.1kN}{2m² \cdot 0.01 \cdot 1000kg/m³ \cdot 0.5}}

10.4881 = \sqrt{\frac{1.1}{2 \cdot 0.01 \cdot 1000 \cdot 0.5}}

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Velocity of Sphere given Drag Force Solution

Follow our step by step solution on how to calculate Velocity of Sphere given Drag Force?

FIRST Step Consider the formula

V mean = \sqrt{\frac{F D}{A \cdot C D \cdot ρ \cdot 0.5}}

Next Step Substitute values of Variables

∴

V mean = \sqrt{\frac{1.1kN}{2m² \cdot 0.01 \cdot 1000kg/m³ \cdot 0.5}}

Next Step Convert Units

∴

V mean = \sqrt{\frac{1100N}{2m² \cdot 0.01 \cdot 1000kg/m³ \cdot 0.5}}

Next Step Prepare to Evaluate

∴

V mean = \sqrt{\frac{1100}{2 \cdot 0.01 \cdot 1000 \cdot 0.5}}

Next Step Evaluate

∴

V mean = 10.4880884817015m/s

LAST Step Rounding Answer

∴

V mean = 10.4881m/s

Velocity of Sphere given Drag Force Formula Elements

Variables

Functions

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

Drag Force

Drag Force is the resisting force experienced by an object moving through a fluid.

Symbol: F_D

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Drag Force

Cross Sectional Area of Pipe

The Cross sectional Area of Pipe refers to the area of the pipe through which the given liquid is flowing.

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Cross Sectional Area of Pipe

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

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

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 Mean Velocity

Go Velocity of Sphere given Resistance Force on Spherical Surface

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

Go Velocity of Sphere given Coefficient of Drag

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

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 Diameter of Sphere given Resistance Force on Spherical Surface

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

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 Velocity of Sphere given Drag Force?

Velocity of Sphere given Drag Force evaluator uses Mean Velocity = sqrt(Drag Force/(Cross Sectional Area of Pipe*Coefficient of Drag*Density of Fluid*0.5)) to evaluate the Mean Velocity, The Velocity of Sphere given Drag Force is defined as the terminal velocity attained by object in flow medium. Mean Velocity is denoted by V_mean symbol.

How to evaluate Velocity of Sphere given Drag Force using this online evaluator? To use this online evaluator for Velocity of Sphere given Drag Force, enter Drag Force (F_D), Cross Sectional Area of Pipe (A), Coefficient of Drag (C_D) & Density of Fluid (ρ) and hit the calculate button.

FAQs on Velocity of Sphere given Drag Force

What is the formula to find Velocity of Sphere given Drag Force?

The formula of Velocity of Sphere given Drag Force is expressed as Mean Velocity = sqrt(Drag Force/(Cross Sectional Area of Pipe*Coefficient of Drag*Density of Fluid*0.5)). Here is an example- 52.91503 = sqrt(1100/(2*0.01*1000*0.5)).

How to calculate Velocity of Sphere given Drag Force?

With Drag Force (F_D), Cross Sectional Area of Pipe (A), Coefficient of Drag (C_D) & Density of Fluid (ρ) we can find Velocity of Sphere given Drag Force using the formula - Mean Velocity = sqrt(Drag Force/(Cross Sectional Area of Pipe*Coefficient of Drag*Density of Fluid*0.5)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Mean Velocity?

Here are the different ways to Calculate Mean Velocity-

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

Can the Velocity of Sphere given Drag Force be negative?

Yes, the Velocity of Sphere given Drag Force, measured in Speed can be negative.

Which unit is used to measure Velocity of Sphere given Drag Force?

Velocity of Sphere given Drag Force is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity of Sphere given Drag Force can be measured.

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Velocity of Sphere given Drag Force Formula

​GoVelocity of Sphere given Resistance Force on Spherical Surface Formula

​GoVelocity of Sphere given Coefficient of Drag Formula

Velocity of Sphere given Drag Force Example

Velocity of Sphere given Drag Force Solution

Velocity of Sphere given Drag Force Formula Elements

Other Formulas to find Mean Velocity

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

How to Evaluate Velocity of Sphere given Drag Force?

FAQs on Velocity of Sphere given Drag Force

Variable Name

GoVelocity of Sphere given Resistance Force on Spherical Surface Formula

GoVelocity of Sphere given Coefficient of Drag Formula