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Rotational speed given Reynolds number Formula

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

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

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

Rotational speed given Reynolds number Example

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Here is how the Rotational speed given Reynolds number equation looks like with Values.

Here is how the Rotational speed given Reynolds number equation looks like with Units.

Here is how the Rotational speed given Reynolds number equation looks like.

5.0226 = \frac{0.6 \cdot 4}{3.1416 \cdot {3.9}^{2}}

5.0226rad/s = \frac{0.6 \cdot 4MSt}{3.1416 \cdot {3.9m}^{2}}

5.0226 = \frac{0.6 \cdot 4}{3.1416 \cdot {3.9}^{2}}

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Rotational speed given Reynolds number Solution

Follow our step by step solution on how to calculate Rotational speed given Reynolds number?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

w = \frac{0.6 \cdot 4MSt}{π \cdot {3.9m}^{2}}

Next Step Substitute values of Constants

∴

w = \frac{0.6 \cdot 4MSt}{3.1416 \cdot {3.9m}^{2}}

Next Step Convert Units

∴

w = \frac{0.6 \cdot 400m²/s}{3.1416 \cdot {3.9m}^{2}}

Next Step Prepare to Evaluate

∴

w = \frac{0.6 \cdot 400}{3.1416 \cdot {3.9}^{2}}

Next Step Evaluate

∴

w = 5.0226412021111rad/s

LAST Step Rounding Answer

∴

w = 5.0226rad/s

Rotational speed given Reynolds number Formula Elements

Variables

Constants

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

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)

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

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

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 Rotational speed given Reynolds number?

Rotational speed given Reynolds number evaluator uses Rotational Speed = (Reynolds Number(w)*Kinematic Viscosity)/(pi*Diameter^2) to evaluate the Rotational Speed, The Rotational speed given Reynolds number formula is defined as the number of turns of the object divided by time, specified as revolutions per minute. Rotational Speed is denoted by w symbol.

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

FAQs on Rotational speed given Reynolds number

What is the formula to find Rotational speed given Reynolds number?

The formula of Rotational speed given Reynolds number is expressed as Rotational Speed = (Reynolds Number(w)*Kinematic Viscosity)/(pi*Diameter^2). Here is an example- 5.022641 = (0.6*400)/(pi*3.9^2).

How to calculate Rotational speed given Reynolds number?

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

Can the Rotational speed given Reynolds number be negative?

Yes, the Rotational speed given Reynolds number, measured in Angular Velocity can be negative.

Which unit is used to measure Rotational speed given Reynolds number?

Rotational speed given Reynolds number is usually measured using the Radian per Second[rad/s] for Angular Velocity. Radian per Day[rad/s], Radian per Hour[rad/s], Radian per Minute[rad/s] are the few other units in which Rotational speed given Reynolds number can be measured.

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Rotational speed given Reynolds number Formula

Rotational speed given Reynolds number Example

Rotational speed given Reynolds number Solution

Rotational speed given Reynolds number Formula Elements

Other formulas in Rayleigh and Reynolds Number category

How to Evaluate Rotational speed given Reynolds number?

FAQs on Rotational speed given Reynolds number

Variable Name