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

✖The Initial Distance of Centre of Gravity of Rotor is a numerical measurement of how far apart objects or points are.ⓘ Initial Distance of Centre of Gravity of Rotor [e]			+10% -10%
✖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.ⓘ Angular Velocity [ω]			+10% -10%
✖Critical or whirling speed is the speed at which unwanted vibration happens when a vessel is rotating.ⓘ Critical or Whirling Speed [ω_c]			+10% -10%

✖Additional Deflection of C.G of Rotor is the degree to which a structural element is displaced under a load.ⓘ Additional Deflection of Centre of Gravity of Rotor using Whirling Speed [y]

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

STEP 0: Pre-Calculation Summary

Formula Used

Additional Deflection of C.G of Rotor = Initial Distance of Centre of Gravity of Rotor/((Angular Velocity/Critical or Whirling Speed)^2-1)
y = e/((ω/ω_c)^2-1)
This formula uses 4 Variables

Variables Used

Additional Deflection of C.G of Rotor - (Measured in Meter) - Additional Deflection of C.G of Rotor is the degree to which a structural element is displaced under a load.
Initial Distance of Centre of Gravity of Rotor - (Measured in Meter) - The Initial Distance of Centre of Gravity of Rotor is a numerical measurement of how far apart objects or points are.
Angular Velocity - (Measured in Radian per Second) - 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.
Critical or Whirling Speed - Critical or whirling speed is the speed at which unwanted vibration happens when a vessel is rotating.

STEP 1: Convert Input(s) to Base Unit

Initial Distance of Centre of Gravity of Rotor: 2 Millimeter --> 0.002 Meter (Check conversion here)
Angular Velocity: 11.2 Radian per Second --> 11.2 Radian per Second No Conversion Required
Critical or Whirling Speed: 6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y = e/((ω/ω_c)^2-1) --> 0.002/((11.2/6)^2-1)

Evaluating ... ...

y = 0.000805008944543829

STEP 3: Convert Result to Output's Unit

0.000805008944543829 Meter -->0.805008944543829 Millimeter (Check conversion here)

FINAL ANSWER

0.805008944543829 ≈ 0.805009 Millimeter <-- Additional Deflection of C.G of Rotor

(Calculation completed in 00.020 seconds)

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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)

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

LaTeX Go

Additional Deflection of C.G of Rotor = Initial Distance of Centre of Gravity of Rotor/((Angular Velocity/Critical or Whirling Speed)^2-1)
y = e/((ω/ω_c)^2-1)

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

Additional Deflection of Centre of Gravity of Rotor using Whirling Speed calculator 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 calculate 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 calculate Additional Deflection of Centre of Gravity of Rotor using Whirling Speed using this online calculator? To use this online calculator 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. Here is how the Additional Deflection of Centre of Gravity of Rotor using Whirling Speed calculation can be explained with given input values -> 805.0089 = 0.002/((11.2/6)^2-1).

FAQ

What is Additional Deflection of Centre of Gravity of Rotor using Whirling Speed?

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 and is represented as y = e/((ω/ω_c)^2-1) or Additional Deflection of C.G of Rotor = Initial Distance of Centre of Gravity of Rotor/((Angular Velocity/Critical or Whirling Speed)^2-1). The Initial Distance of Centre of Gravity of Rotor is a numerical measurement of how far apart objects or points are, 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 & Critical or whirling speed is the speed at which unwanted vibration happens when a vessel is rotating.

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

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 is calculated using Additional Deflection of C.G of Rotor = Initial Distance of Centre of Gravity of Rotor/((Angular Velocity/Critical or Whirling Speed)^2-1). To calculate Additional Deflection of Centre of Gravity of Rotor using Whirling Speed, you need Initial Distance of Centre of Gravity of Rotor (e), Angular Velocity (ω) & Critical or Whirling Speed (ω_c). With our tool, you need to enter the respective value for Initial Distance of Centre of Gravity of Rotor, Angular Velocity & Critical or Whirling Speed 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 Additional Deflection of C.G of Rotor?

In this formula, Additional Deflection of C.G of Rotor uses Initial Distance of Centre of Gravity of Rotor, Angular Velocity & Critical or Whirling Speed. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)

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