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Critical or Whirling Speed in R.P.S Formula

GoCritical or Whirling Speed given Static Deflection Formula

GoCritical or Whirling Speed given Stiffness of Shaft Formula

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

ω c = \frac{0.4985}{\sqrt{δ}}

ω_c - Critical or Whirling Speed?δ - Static Deflection of Shaft?

Critical or Whirling Speed in R.P.S Example

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Here is how the Critical or Whirling Speed in R.P.S equation looks like with Values.

Here is how the Critical or Whirling Speed in R.P.S equation looks like with Units.

Here is how the Critical or Whirling Speed in R.P.S equation looks like.

19.4041 = \frac{0.4985}{\sqrt{0.66}}

19.4041 = \frac{0.4985}{\sqrt{0.66mm}}

19.4041 = \frac{0.4985}{\sqrt{0.66}}

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Critical or Whirling Speed in R.P.S Solution

Follow our step by step solution on how to calculate Critical or Whirling Speed in R.P.S?

FIRST Step Consider the formula

ω c = \frac{0.4985}{\sqrt{δ}}

Next Step Substitute values of Variables

∴

ω c = \frac{0.4985}{\sqrt{0.66mm}}

Next Step Convert Units

∴

ω c = \frac{0.4985}{\sqrt{0.0007m}}

Next Step Prepare to Evaluate

∴

ω c = \frac{0.4985}{\sqrt{0.0007}}

Next Step Evaluate

∴

ω c = 19.404086183226

LAST Step Rounding Answer

∴

ω c = 19.4041

Critical or Whirling Speed in R.P.S Formula Elements

Variables

Functions

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

Static Deflection of Shaft

Static Deflection of Shaft is the extension or compression of the constraint.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Static Deflection of Shaft

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Critical or Whirling Speed

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}}

Other formulas in Critical or Whirling Speed of Shaft category

Go Static Deflection of Shaft

δ = \frac{m \cdot g}{S s}

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

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

Go Natural Circular Frequency of Shaft

ω n = \sqrt{\frac{S s}{m}}

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

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

How to Evaluate Critical or Whirling Speed in R.P.S?

Critical or Whirling Speed in R.P.S evaluator uses Critical or Whirling Speed = 0.4985/sqrt(Static Deflection of Shaft) to evaluate the Critical or Whirling Speed, Critical or Whirling Speed in R.P.S formula is defined as the speed at which a rotating shaft begins to vibrate violently due to the imbalance of the shaft, which can lead to its failure, and is an important parameter in the design and operation of rotating machines. Critical or Whirling Speed is denoted by ω_c symbol.

How to evaluate Critical or Whirling Speed in R.P.S using this online evaluator? To use this online evaluator for Critical or Whirling Speed in R.P.S, enter Static Deflection of Shaft (δ) and hit the calculate button.

FAQs on Critical or Whirling Speed in R.P.S

What is the formula to find Critical or Whirling Speed in R.P.S?

The formula of Critical or Whirling Speed in R.P.S is expressed as Critical or Whirling Speed = 0.4985/sqrt(Static Deflection of Shaft). Here is an example- 19.40409 = 0.4985/sqrt(0.00066).

How to calculate Critical or Whirling Speed in R.P.S?

With Static Deflection of Shaft (δ) we can find Critical or Whirling Speed in R.P.S using the formula - Critical or Whirling Speed = 0.4985/sqrt(Static Deflection of Shaft). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Critical or Whirling Speed?

Here are the different ways to Calculate Critical or Whirling Speed-

Critical or Whirling Speed=sqrt(Acceleration Due to Gravity/Static Deflection of Shaft)
Critical or Whirling Speed=sqrt(Stiffness of Shaft/Mass of Rotor)

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