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Velocity of Sphere given Resistance Force on Spherical Surface Formula

GoVelocity of Sphere given Drag Force 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 = \frac{F resistance}{3 \cdot π \cdot μ \cdot D S}

V_mean - Mean Velocity?F_resistance - Resistance Force?μ - Dynamic Viscosity?D_S - Diameter of Sphere?π - Archimedes' constant?

Velocity of Sphere given Resistance Force on Spherical Surface Example

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Here is how the Velocity of Sphere given Resistance Force on Spherical Surface equation looks like with Values.

Here is how the Velocity of Sphere given Resistance Force on Spherical Surface equation looks like with Units.

Here is how the Velocity of Sphere given Resistance Force on Spherical Surface equation looks like.

10.0902 = \frac{0.97}{3 \cdot 3.1416 \cdot 10.2 \cdot 10}

10.0902m/s = \frac{0.97kN}{3 \cdot 3.1416 \cdot 10.2P \cdot 10m}

10.0902 = \frac{0.97}{3 \cdot 3.1416 \cdot 10.2 \cdot 10}

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Velocity of Sphere given Resistance Force on Spherical Surface Solution

Follow our step by step solution on how to calculate Velocity of Sphere given Resistance Force on Spherical Surface?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V mean = \frac{0.97kN}{3 \cdot π \cdot 10.2P \cdot 10m}

Next Step Substitute values of Constants

∴

V mean = \frac{0.97kN}{3 \cdot 3.1416 \cdot 10.2P \cdot 10m}

Next Step Convert Units

∴

V mean = \frac{970N}{3 \cdot 3.1416 \cdot 1.02Pa*s \cdot 10m}

Next Step Prepare to Evaluate

∴

V mean = \frac{970}{3 \cdot 3.1416 \cdot 1.02 \cdot 10}

Next Step Evaluate

∴

V mean = 10.0902153463489m/s

LAST Step Rounding Answer

∴

V mean = 10.0902m/s

Velocity of Sphere given Resistance Force on Spherical Surface Formula Elements

Variables

Constants

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

Resistance Force

The Resistance Force Value is equal to the external load applied at equilibrium.

Symbol: F_resistance

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Resistance Force

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

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

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 Mean Velocity

Go Velocity of Sphere given Drag Force

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

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 Resistance Force on Spherical Surface?

Velocity of Sphere given Resistance Force on Spherical Surface evaluator uses Mean Velocity = Resistance Force/(3*pi*Dynamic Viscosity*Diameter of Sphere) to evaluate the Mean Velocity, The Velocity of Sphere given Resistance Force on Spherical Surface is defined as the velocity of object in fluid in flow. Mean Velocity is denoted by V_mean symbol.

How to evaluate Velocity of Sphere given Resistance Force on Spherical Surface using this online evaluator? To use this online evaluator for Velocity of Sphere given Resistance Force on Spherical Surface, enter Resistance Force (F_resistance), Dynamic Viscosity (μ) & Diameter of Sphere (D_S) and hit the calculate button.

FAQs on Velocity of Sphere given Resistance Force on Spherical Surface

What is the formula to find Velocity of Sphere given Resistance Force on Spherical Surface?

The formula of Velocity of Sphere given Resistance Force on Spherical Surface is expressed as Mean Velocity = Resistance Force/(3*pi*Dynamic Viscosity*Diameter of Sphere). Here is an example- 10.09022 = 970/(3*pi*1.02*10).

How to calculate Velocity of Sphere given Resistance Force on Spherical Surface?

With Resistance Force (F_resistance), Dynamic Viscosity (μ) & Diameter of Sphere (D_S) we can find Velocity of Sphere given Resistance Force on Spherical Surface using the formula - Mean Velocity = Resistance Force/(3*pi*Dynamic Viscosity*Diameter of Sphere). This formula also uses Archimedes' constant .

What are the other ways to Calculate Mean Velocity?

Here are the different ways to Calculate Mean Velocity-

Mean Velocity=sqrt(Drag Force/(Cross Sectional Area of Pipe*Coefficient of Drag*Density of Fluid*0.5))
Mean Velocity=(24*Dynamic Viscosity)/(Density of Fluid*Coefficient of Drag*Diameter of Sphere)

Can the Velocity of Sphere given Resistance Force on Spherical Surface be negative?

Yes, the Velocity of Sphere given Resistance Force on Spherical Surface, measured in Speed can be negative.

Which unit is used to measure Velocity of Sphere given Resistance Force on Spherical Surface?

Velocity of Sphere given Resistance Force on Spherical Surface 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 Resistance Force on Spherical Surface can be measured.

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