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Rotational speed of disc Formula

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

w = 5 \cdot 10^{5} \cdot \frac{u}{D^{2}}

w - Rotational Speed?u - Kinematic Viscosity?D - Diameter?

Rotational speed of disc Example

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Here is how the Rotational speed of disc equation looks like with Values.

Here is how the Rotational speed of disc equation looks like with Units.

Here is how the Rotational speed of disc equation looks like.

5 = 5 \cdot 10^{5} \cdot \frac{100}{{31.6228}^{2}}

5rad/s = 5 \cdot 10^{5} \cdot \frac{100St}{{31.6228m}^{2}}

5 = 5 \cdot 10^{5} \cdot \frac{100}{{31.6228}^{2}}

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Rotational speed of disc Solution

Follow our step by step solution on how to calculate Rotational speed of disc?

FIRST Step Consider the formula

w = 5 \cdot 10^{5} \cdot \frac{u}{D^{2}}

Next Step Substitute values of Variables

∴

w = 5 \cdot 10^{5} \cdot \frac{100St}{{31.6228m}^{2}}

Next Step Convert Units

∴

w = 5 \cdot 10^{5} \cdot \frac{0.01m²/s}{{31.6228m}^{2}}

Next Step Prepare to Evaluate

∴

w = 5 \cdot 10^{5} \cdot \frac{0.01}{{31.6228}^{2}}

Next Step Evaluate

∴

w = 4.99999892535823rad/s

LAST Step Rounding Answer

∴

w = 5rad/s

Rotational speed of disc Formula Elements

Variables

Rotational Speed

Rotational Speed 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

Kinematic Viscosity

The kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.

Symbol: u

Measurement: Kinematic ViscosityUnit: St

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

Other formulas in Convective Flow Over Cylinder and Sphere category

Go Boundary layer thickness on vertical surfaces

d x = 3.93 \cdot x \cdot {Pr}^{- 0.5} \cdot {(0.952 + Pr)}^{0.25} \cdot {Gr x}^{- 0.25}

Go Convective mass transfer coefficient at distance X from leading edge

k L = \frac{2 \cdot k e}{d x}

Go Inside surface temperature for annular space between concentric cylinders

t i = (e' \cdot \frac{\ln (\frac{D o}{D i})}{2 \cdot π \cdot k e}) + t o

Go Outside surface temperature for annular space between concentric cylinders

t o = t i - (e' \cdot \frac{\ln (\frac{D o}{D i})}{2 \cdot π \cdot k e})

How to Evaluate Rotational speed of disc?

Rotational speed of disc evaluator uses Rotational Speed = 5*10^5*Kinematic Viscosity/(Diameter^2) to evaluate the Rotational Speed, The Rotational speed of disc 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 of disc using this online evaluator? To use this online evaluator for Rotational speed of disc, enter Kinematic Viscosity (u) & Diameter (D) and hit the calculate button.

FAQs on Rotational speed of disc

What is the formula to find Rotational speed of disc?

The formula of Rotational speed of disc is expressed as Rotational Speed = 5*10^5*Kinematic Viscosity/(Diameter^2). Here is an example- 4.999999 = 5*10^5*0.01/(31.62278^2).

How to calculate Rotational speed of disc?

With Kinematic Viscosity (u) & Diameter (D) we can find Rotational speed of disc using the formula - Rotational Speed = 5*10^5*Kinematic Viscosity/(Diameter^2).

Can the Rotational speed of disc be negative?

Yes, the Rotational speed of disc, measured in Angular Velocity can be negative.

Which unit is used to measure Rotational speed of disc?

Rotational speed of disc 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 of disc can be measured.

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