Critical or Whirling Speed given Static Deflection Calculator

✖Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration Due to Gravity [g]			+10% -10%
✖Static Deflection of Shaft is the extension or compression of the constraint.ⓘ Static Deflection of Shaft [δ]			+10% -10%

✖Critical or whirling speed is the speed at which unwanted vibration happens when a vessel is rotating.ⓘ Critical or Whirling Speed given Static Deflection [ω_c]

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Critical or Whirling Speed given Static Deflection Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical or Whirling Speed = sqrt(Acceleration Due to Gravity/Static Deflection of Shaft)
ω_c = sqrt(g/δ)
This formula uses 1 Functions, 3 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.
Acceleration Due to Gravity - (Measured in Meter per Square Second) - Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.
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

Acceleration Due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Static Deflection of Shaft: 0.66 Millimeter --> 0.00066 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_c = sqrt(g/δ) --> sqrt(9.8/0.00066)

Evaluating ... ...

ω_c = 121.854359168988

STEP 3: Convert Result to Output's Unit

121.854359168988 --> No Conversion Required

FINAL ANSWER

121.854359168988 ≈ 121.8544 <-- Critical or Whirling Speed

(Calculation completed in 00.004 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 given Static Deflection

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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 given Static Deflection Formula

LaTeX Go

Critical or Whirling Speed = sqrt(Acceleration Due to Gravity/Static Deflection of Shaft)
ω_c = sqrt(g/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 given Static Deflection?

Critical or Whirling Speed given Static Deflection calculator uses Critical or Whirling Speed = sqrt(Acceleration Due to Gravity/Static Deflection of Shaft) to calculate the Critical or Whirling Speed, Critical or Whirling Speed given Static Deflection formula is defined as the speed at which a rotating shaft begins to vibrate violently due to the shaft's own weight, causing the shaft to whirl or vibrate, and is a critical parameter in the design of rotating machines. Critical or Whirling Speed is denoted by ω_c symbol.

How to calculate Critical or Whirling Speed given Static Deflection using this online calculator? To use this online calculator for Critical or Whirling Speed given Static Deflection, enter Acceleration Due to Gravity (g) & Static Deflection of Shaft (δ) and hit the calculate button. Here is how the Critical or Whirling Speed given Static Deflection calculation can be explained with given input values -> 121.8544 = sqrt(9.8/0.00066).

FAQ

What is Critical or Whirling Speed given Static Deflection?

Critical or Whirling Speed given Static Deflection formula is defined as the speed at which a rotating shaft begins to vibrate violently due to the shaft's own weight, causing the shaft to whirl or vibrate, and is a critical parameter in the design of rotating machines and is represented as ω_c = sqrt(g/δ) or Critical or Whirling Speed = sqrt(Acceleration Due to Gravity/Static Deflection of Shaft). Acceleration Due to Gravity is acceleration gained by an object because of gravitational force & Static Deflection of Shaft is the extension or compression of the constraint.

How to calculate Critical or Whirling Speed given Static Deflection?

Critical or Whirling Speed given Static Deflection formula is defined as the speed at which a rotating shaft begins to vibrate violently due to the shaft's own weight, causing the shaft to whirl or vibrate, and is a critical parameter in the design of rotating machines is calculated using Critical or Whirling Speed = sqrt(Acceleration Due to Gravity/Static Deflection of Shaft). To calculate Critical or Whirling Speed given Static Deflection, you need Acceleration Due to Gravity (g) & Static Deflection of Shaft (δ). With our tool, you need to enter the respective value for Acceleration Due to Gravity & 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 Acceleration Due to Gravity & Static Deflection of Shaft. We can use 2 other way(s) to calculate the same, which is/are as follows -

Critical or Whirling Speed = 0.4985/sqrt(Static Deflection of Shaft)
Critical or Whirling Speed = sqrt(Stiffness of Shaft/Mass of Rotor)

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