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Additional Deflection of Centre of Gravity of Rotor using Whirling Speed Formula

GoAdditional Deflection of Centre of Gravity of Rotor using Natural Circular Frequency Formula

GoAdditional Deflection of Centre of Gravity of Rotor when Shaft Starts Rotating Formula

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Additional Deflection of C.G of Rotor is the degree to which a structural element is displaced under a load. Check FAQs

y = \frac{e}{{(\frac{ω}{ω c})}^{2} - 1}

y - Additional Deflection of C.G of Rotor?e - Initial Distance of Centre of Gravity of Rotor?ω - Angular Velocity?ω_c - Critical or Whirling Speed?

Additional Deflection of Centre of Gravity of Rotor using Whirling Speed Example

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Here is how the Additional Deflection of Centre of Gravity of Rotor using Whirling Speed equation looks like with Values.

Here is how the Additional Deflection of Centre of Gravity of Rotor using Whirling Speed equation looks like with Units.

Here is how the Additional Deflection of Centre of Gravity of Rotor using Whirling Speed equation looks like.

0.805 = \frac{2}{{(\frac{11.2}{6})}^{2} - 1}

0.805mm = \frac{2mm}{{(\frac{11.2rad/s}{6})}^{2} - 1}

0.805 = \frac{2}{{(\frac{11.2}{6})}^{2} - 1}

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Additional Deflection of Centre of Gravity of Rotor using Whirling Speed Solution

Follow our step by step solution on how to calculate Additional Deflection of Centre of Gravity of Rotor using Whirling Speed?

FIRST Step Consider the formula

y = \frac{e}{{(\frac{ω}{ω c})}^{2} - 1}

Next Step Substitute values of Variables

∴

y = \frac{2mm}{{(\frac{11.2rad/s}{6})}^{2} - 1}

Next Step Convert Units

∴

y = \frac{0.002m}{{(\frac{11.2rad/s}{6})}^{2} - 1}

Next Step Prepare to Evaluate

∴

y = \frac{0.002}{{(\frac{11.2}{6})}^{2} - 1}

Next Step Evaluate

∴

y = 0.000805008944543829m

Next Step Convert to Output's Unit

∴

y = 0.805008944543829mm

LAST Step Rounding Answer

∴

y = 0.805mm

Additional Deflection of Centre of Gravity of Rotor using Whirling Speed Formula Elements

Variables

Additional Deflection of C.G of Rotor

Additional Deflection of C.G of Rotor is the degree to which a structural element is displaced under a load.

Symbol: y

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Additional Deflection of C.G of Rotor

Initial Distance of Centre of Gravity of Rotor

The Initial Distance of Centre of Gravity of Rotor is a numerical measurement of how far apart objects or points are.

Symbol: e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Initial Distance of Centre of Gravity of Rotor

Angular Velocity

Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Velocity

Critical or Whirling Speed

Critical or whirling speed is the speed at which unwanted vibration happens when a vessel is rotating.

Symbol: ω_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Critical or Whirling Speed

Other Formulas to find Additional Deflection of C.G of Rotor

Go Additional Deflection of Centre of Gravity of Rotor using Natural Circular Frequency

y = \frac{ω^{2} \cdot e}{{ω n}^{2} - ω^{2}}

Go Additional Deflection of Centre of Gravity of Rotor when Shaft Starts Rotating

y = \frac{m \cdot ω^{2} \cdot e}{S s - m \cdot ω^{2}}

Other formulas in Critical or Whirling Speed of Shaft category

Go Static Deflection of Shaft

δ = \frac{m \cdot g}{S s}

Go Critical or Whirling Speed in R.P.S

ω c = \frac{0.4985}{\sqrt{δ}}

Go Critical or Whirling Speed given Static Deflection

ω c = \sqrt{\frac{g}{δ}}

Go Critical or Whirling Speed given Stiffness of Shaft

ω c = \sqrt{\frac{S s}{m}}

How to Evaluate Additional Deflection of Centre of Gravity of Rotor using Whirling Speed?

Additional Deflection of Centre of Gravity of Rotor using Whirling Speed evaluator uses Additional Deflection of C.G of Rotor = Initial Distance of Centre of Gravity of Rotor/((Angular Velocity/Critical or Whirling Speed)^2-1) to evaluate the Additional Deflection of C.G of Rotor, Additional Deflection of Centre of Gravity of Rotor using Whirling Speed formula is defined as a measure of the rotor's centre of gravity displacement from its initial position when the rotor is rotating at a critical or whirling speed, which is a crucial parameter in determining the stability of rotating machines. Additional Deflection of C.G of Rotor is denoted by y symbol.

How to evaluate Additional Deflection of Centre of Gravity of Rotor using Whirling Speed using this online evaluator? To use this online evaluator for Additional Deflection of Centre of Gravity of Rotor using Whirling Speed, enter Initial Distance of Centre of Gravity of Rotor (e), Angular Velocity (ω) & Critical or Whirling Speed (ω_c) and hit the calculate button.

FAQs on Additional Deflection of Centre of Gravity of Rotor using Whirling Speed

What is the formula to find Additional Deflection of Centre of Gravity of Rotor using Whirling Speed?

The formula of Additional Deflection of Centre of Gravity of Rotor using Whirling Speed is expressed as Additional Deflection of C.G of Rotor = Initial Distance of Centre of Gravity of Rotor/((Angular Velocity/Critical or Whirling Speed)^2-1). Here is an example- 805.0089 = 0.002/((11.2/6)^2-1).

How to calculate Additional Deflection of Centre of Gravity of Rotor using Whirling Speed?

With Initial Distance of Centre of Gravity of Rotor (e), Angular Velocity (ω) & Critical or Whirling Speed (ω_c) we can find Additional Deflection of Centre of Gravity of Rotor using Whirling Speed using the formula - Additional Deflection of C.G of Rotor = Initial Distance of Centre of Gravity of Rotor/((Angular Velocity/Critical or Whirling Speed)^2-1).

What are the other ways to Calculate Additional Deflection of C.G of Rotor?

Here are the different ways to Calculate Additional Deflection of C.G of Rotor-

Additional Deflection of C.G of Rotor=(Angular Velocity^2*Initial Distance of Centre of Gravity of Rotor)/(Natural Circular Frequency^2-Angular Velocity^2)
Additional Deflection of C.G of Rotor=(Mass of Rotor*Angular Velocity^2*Initial Distance of Centre of Gravity of Rotor)/(Stiffness of Shaft-Mass of Rotor*Angular Velocity^2)

Can the Additional Deflection of Centre of Gravity of Rotor using Whirling Speed be negative?

Yes, the Additional Deflection of Centre of Gravity of Rotor using Whirling Speed, measured in Length can be negative.

Which unit is used to measure Additional Deflection of Centre of Gravity of Rotor using Whirling Speed?

Additional Deflection of Centre of Gravity of Rotor using Whirling Speed is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Additional Deflection of Centre of Gravity of Rotor using Whirling Speed can be measured.

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Additional Deflection of Centre of Gravity of Rotor using Whirling Speed Formula

​GoAdditional Deflection of Centre of Gravity of Rotor using Natural Circular Frequency Formula

​GoAdditional Deflection of Centre of Gravity of Rotor when Shaft Starts Rotating Formula

Additional Deflection of Centre of Gravity of Rotor using Whirling Speed Example

Additional Deflection of Centre of Gravity of Rotor using Whirling Speed Solution

Additional Deflection of Centre of Gravity of Rotor using Whirling Speed Formula Elements

Other Formulas to find Additional Deflection of C.G of Rotor

Other formulas in Critical or Whirling Speed of Shaft category

How to Evaluate Additional Deflection of Centre of Gravity of Rotor using Whirling Speed?

FAQs on Additional Deflection of Centre of Gravity of Rotor using Whirling Speed

Variable Name

GoAdditional Deflection of Centre of Gravity of Rotor using Natural Circular Frequency Formula

GoAdditional Deflection of Centre of Gravity of Rotor when Shaft Starts Rotating Formula