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Critical or Whirling Speed given Stiffness of Shaft Formula

GoCritical or Whirling Speed in R.P.S Formula

GoCritical or Whirling Speed given Static Deflection 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 = \sqrt{\frac{S s}{m}}

ω_c - Critical or Whirling Speed?S_s - Stiffness of Shaft?m - Mass of Rotor?

Critical or Whirling Speed given Stiffness of Shaft Example

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Here is how the Critical or Whirling Speed given Stiffness of Shaft equation looks like with Values.

Here is how the Critical or Whirling Speed given Stiffness of Shaft equation looks like with Units.

Here is how the Critical or Whirling Speed given Stiffness of Shaft equation looks like.

67.8233 = \sqrt{\frac{2.3}{0.0005}}

67.8233 = \sqrt{\frac{2.3N/m}{0.0005kg}}

67.8233 = \sqrt{\frac{2.3}{0.0005}}

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Critical or Whirling Speed given Stiffness of Shaft Solution

Follow our step by step solution on how to calculate Critical or Whirling Speed given Stiffness of Shaft?

FIRST Step Consider the formula

ω c = \sqrt{\frac{S s}{m}}

Next Step Substitute values of Variables

∴

ω c = \sqrt{\frac{2.3N/m}{0.0005kg}}

Next Step Prepare to Evaluate

∴

ω c = \sqrt{\frac{2.3}{0.0005}}

Next Step Evaluate

∴

ω c = 67.8232998312527

LAST Step Rounding Answer

∴

ω c = 67.8233

Critical or Whirling Speed given Stiffness of Shaft 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

Stiffness of Shaft

Stiffness of Shaft means that the lateral deflection of the shaft and/or angle of twist of the shaft should be within some prescribed limit.

Symbol: S_s

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Stiffness of Shaft

Mass of Rotor

Mass of Rotor is both a property of a physical body and a measure of its resistance to acceleration.

Symbol: m

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Rotor

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 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}}

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 given Stiffness of Shaft?

Critical or Whirling Speed given Stiffness of Shaft evaluator uses Critical or Whirling Speed = sqrt(Stiffness of Shaft/Mass of Rotor) to evaluate the Critical or Whirling Speed, Critical or Whirling Speed given Stiffness of Shaft formula is defined as a measure of the rotational speed at which a shaft begins to vibrate violently, which can lead to its failure, and is dependent on the stiffness of the shaft and the mass of the rotating element. Critical or Whirling Speed is denoted by ω_c symbol.

How to evaluate Critical or Whirling Speed given Stiffness of Shaft using this online evaluator? To use this online evaluator for Critical or Whirling Speed given Stiffness of Shaft, enter Stiffness of Shaft (S_s) & Mass of Rotor (m) and hit the calculate button.

FAQs on Critical or Whirling Speed given Stiffness of Shaft

What is the formula to find Critical or Whirling Speed given Stiffness of Shaft?

The formula of Critical or Whirling Speed given Stiffness of Shaft is expressed as Critical or Whirling Speed = sqrt(Stiffness of Shaft/Mass of Rotor). Here is an example- 67.8233 = sqrt(2.3/0.0005).

How to calculate Critical or Whirling Speed given Stiffness of Shaft?

With Stiffness of Shaft (S_s) & Mass of Rotor (m) we can find Critical or Whirling Speed given Stiffness of Shaft using the formula - Critical or Whirling Speed = sqrt(Stiffness of Shaft/Mass of Rotor). 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=0.4985/sqrt(Static Deflection of Shaft)
Critical or Whirling Speed=sqrt(Acceleration Due to Gravity/Static Deflection of Shaft)

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: Unit

Critical or Whirling Speed given Stiffness of Shaft Formula

​GoCritical or Whirling Speed in R.P.S Formula

​GoCritical or Whirling Speed given Static Deflection Formula

Critical or Whirling Speed given Stiffness of Shaft Example

Critical or Whirling Speed given Stiffness of Shaft Solution

Critical or Whirling Speed given Stiffness of Shaft Formula Elements

Other Formulas to find Critical or Whirling Speed

Other formulas in Critical or Whirling Speed of Shaft category

How to Evaluate Critical or Whirling Speed given Stiffness of Shaft?

FAQs on Critical or Whirling Speed given Stiffness of Shaft

Variable Name

GoCritical or Whirling Speed in R.P.S Formula

GoCritical or Whirling Speed given Static Deflection Formula