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Reynolds Number given Rotational Speed Formula

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Reynolds number(w) is a dimensionless number used in fluid mechanics to indicate whether fluid flow past a body or in a duct is steady or turbulent. Check FAQs

Rew = w \cdot π \cdot \frac{D^{2}}{v k}

Rew - Reynolds Number(w)?w - Rotational Speed?D - Diameter?v_k - Kinematic Viscosity?π - Archimedes' constant?

Reynolds Number given Rotational Speed Example

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Here is how the Reynolds Number given Rotational Speed equation looks like with Values.

Here is how the Reynolds Number given Rotational Speed equation looks like with Units.

Here is how the Reynolds Number given Rotational Speed equation looks like.

0.5973 = 5 \cdot 3.1416 \cdot \frac{{3.9}^{2}}{4}

0.5973 = 5rad/s \cdot 3.1416 \cdot \frac{{3.9m}^{2}}{4MSt}

0.5973 = 5 \cdot 3.1416 \cdot \frac{{3.9}^{2}}{4}

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Reynolds Number given Rotational Speed Solution

Follow our step by step solution on how to calculate Reynolds Number given Rotational Speed?

FIRST Step Consider the formula

Rew = w \cdot π \cdot \frac{D^{2}}{v k}

Next Step Substitute values of Variables

∴

Rew = 5rad/s \cdot π \cdot \frac{{3.9m}^{2}}{4MSt}

Next Step Substitute values of Constants

∴

Rew = 5rad/s \cdot 3.1416 \cdot \frac{{3.9m}^{2}}{4MSt}

Next Step Convert Units

∴

Rew = 5rad/s \cdot 3.1416 \cdot \frac{{3.9m}^{2}}{400m²/s}

Next Step Prepare to Evaluate

∴

Rew = 5 \cdot 3.1416 \cdot \frac{{3.9}^{2}}{400}

Next Step Evaluate

∴

Rew = 0.597295303263759

LAST Step Rounding Answer

∴

Rew = 0.5973

Reynolds Number given Rotational Speed Formula Elements

Variables

Constants

Reynolds Number(w)

Reynolds number(w) is a dimensionless number used in fluid mechanics to indicate whether fluid flow past a body or in a duct is steady or turbulent.

Symbol: Rew

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Reynolds Number(w)

Rotational Speed

Rotational Speed is the number of turns of the object divided by time, specified as revolutions per minute.

Symbol: w

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Rotational Speed

Diameter

Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter

Kinematic Viscosity

Kinematic Viscosity is the ratio between the dynamic viscosity μ and the density ρ of the fluid.

Symbol: v_k

Measurement: Kinematic ViscosityUnit: MSt

Note: Value can be positive or negative.

Formulas to find Kinematic Viscosity

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 in Rayleigh and Reynolds Number category

Go Rayleigh number based on turbulence for annular space between concentric cylinders

Ra c = (\frac{({(\ln (\frac{d o}{d i}))}^{4}) \cdot (Ra l)}{(L^{3}) \cdot {(({d i}^{- 0.6}) + ({d o}^{- 0.6}))}^{5}})

Go Rayleigh number based on length for annular space between concentric cylinders

Ra l = \frac{Ra c}{\frac{({(\ln (\frac{d o}{d i}))}^{4})}{(L^{3}) \cdot {(({d i}^{- 0.6}) + ({d o}^{- 0.6}))}^{5}}}

Go Rayleigh number based on turbulence for concentric spheres

Ra c = {(\frac{L \cdot Ra l}{({(D i \cdot D o)}^{4}) \cdot ({(({D i}^{- 1.4}) + ({D o}^{- 1.4}))}^{5})})}^{0.25}

Go Reynolds Number given Graetz Number

Re L = Gr \cdot \frac{L}{Pr \cdot D}

How to Evaluate Reynolds Number given Rotational Speed?

Reynolds Number given Rotational Speed evaluator uses Reynolds Number(w) = Rotational Speed*pi*(Diameter^2)/Kinematic Viscosity to evaluate the Reynolds Number(w), The Reynolds Number given Rotational Speed formula is defined as a dimensionless number used in fluid mechanics to indicate whether fluid flow past a body or in a duct is steady or turbulent. Reynolds Number(w) is denoted by Rew symbol.

How to evaluate Reynolds Number given Rotational Speed using this online evaluator? To use this online evaluator for Reynolds Number given Rotational Speed, enter Rotational Speed (w), Diameter (D) & Kinematic Viscosity (v_k) and hit the calculate button.

FAQs on Reynolds Number given Rotational Speed

What is the formula to find Reynolds Number given Rotational Speed?

The formula of Reynolds Number given Rotational Speed is expressed as Reynolds Number(w) = Rotational Speed*pi*(Diameter^2)/Kinematic Viscosity. Here is an example- 0.597295 = 5*pi*(3.9^2)/400.

How to calculate Reynolds Number given Rotational Speed?

With Rotational Speed (w), Diameter (D) & Kinematic Viscosity (v_k) we can find Reynolds Number given Rotational Speed using the formula - Reynolds Number(w) = Rotational Speed*pi*(Diameter^2)/Kinematic Viscosity. This formula also uses Archimedes' constant .

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Reynolds Number given Rotational Speed Formula

Reynolds Number given Rotational Speed Example

Reynolds Number given Rotational Speed Solution

Reynolds Number given Rotational Speed Formula Elements

Other formulas in Rayleigh and Reynolds Number category

How to Evaluate Reynolds Number given Rotational Speed?

FAQs on Reynolds Number given Rotational Speed

Variable Name