Critical or Whirling Speed in R.P.S Calculator

✖Static Deflection of Shaft is the extension or compression of the constraint.ⓘ Static Deflection of Shaft [δ]

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✖Critical or whirling speed is the speed at which unwanted vibration happens when a vessel is rotating.ⓘ Critical or Whirling Speed in R.P.S [ω_c]

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Critical or Whirling Speed in R.P.S Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical or Whirling Speed = 0.4985/sqrt(Static Deflection of Shaft)
ω_c = 0.4985/sqrt(δ)
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Critical or Whirling Speed - Critical or whirling speed is the speed at which unwanted vibration happens when a vessel is rotating.
Static Deflection of Shaft - (Measured in Meter) - Static Deflection of Shaft is the extension or compression of the constraint.

STEP 1: Convert Input(s) to Base Unit

Static Deflection of Shaft: 0.66 Millimeter --> 0.00066 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_c = 0.4985/sqrt(δ) --> 0.4985/sqrt(0.00066)

Evaluating ... ...

ω_c = 19.404086183226

STEP 3: Convert Result to Output's Unit

19.404086183226 --> No Conversion Required

FINAL ANSWER

19.404086183226 ≈ 19.40409 <-- Critical or Whirling Speed

(Calculation completed in 00.020 seconds)

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Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Mechanical » Critical or Whirling Speed of Shaft » Critical or Whirling Speed in R.P.S

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National Institute Of Technology (NIT), Hamirpur

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< Critical or Whirling Speed of Shaft Calculators

Static Deflection of Shaft

LaTeX Go Static Deflection of Shaft = (Mass of Rotor*Acceleration Due to Gravity)/Stiffness of Shaft

Critical or Whirling Speed given Static Deflection

LaTeX Go Critical or Whirling Speed = sqrt(Acceleration Due to Gravity/Static Deflection of Shaft)

Critical or Whirling Speed given Stiffness of Shaft

LaTeX Go Critical or Whirling Speed = sqrt(Stiffness of Shaft/Mass of Rotor)

Critical or Whirling Speed in R.P.S

LaTeX Go Critical or Whirling Speed = 0.4985/sqrt(Static Deflection of Shaft)

Critical or Whirling Speed in R.P.S Formula

LaTeX Go

Critical or Whirling Speed = 0.4985/sqrt(Static Deflection of Shaft)
ω_c = 0.4985/sqrt(δ)

What is meant by critical speed of a shaft which are the factors affecting it?

In solid mechanics, in the field of rotor-dynamics, the critical speed is the theoretical angular velocity that excites the natural frequency of a rotating object, such as a shaft, propeller, leadscrew, or gear. The factor which affects the critical speed of a shaft is diameter of the disc, span of the shaft, and eccentricity.

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

Critical or Whirling Speed in R.P.S calculator uses Critical or Whirling Speed = 0.4985/sqrt(Static Deflection of Shaft) to calculate 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 calculate Critical or Whirling Speed in R.P.S using this online calculator? To use this online calculator for Critical or Whirling Speed in R.P.S, enter Static Deflection of Shaft (δ) and hit the calculate button. Here is how the Critical or Whirling Speed in R.P.S calculation can be explained with given input values -> 19.40409 = 0.4985/sqrt(0.00066).

FAQ

What is Critical or Whirling Speed in R.P.S?

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 and is represented as ω_c = 0.4985/sqrt(δ) or Critical or Whirling Speed = 0.4985/sqrt(Static Deflection of Shaft). Static Deflection of Shaft is the extension or compression of the constraint.

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

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 is calculated using Critical or Whirling Speed = 0.4985/sqrt(Static Deflection of Shaft). To calculate Critical or Whirling Speed in R.P.S, you need Static Deflection of Shaft (δ). With our tool, you need to enter the respective value for Static Deflection of Shaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Critical or Whirling Speed?

In this formula, Critical or Whirling Speed uses Static Deflection of Shaft. We can use 2 other way(s) to calculate the same, which is/are as follows -

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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