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)
ωc = 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
ωc = 0.4985/sqrt(δ) --> 0.4985/sqrt(0.00066)
Evaluating ... ...
ωc = 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 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verified by Dipto Mandal
Indian Institute of Information Technology (IIIT), Guwahati
Dipto Mandal has verified this Calculator and 400+ more calculators!

12 Critical or Whirling Speed of Shaft Calculators

Additional Deflection of Centre of Gravity of Rotor when Shaft Starts Rotating
Go 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)
Stiffness of Shaft for Equilibrium Position
Go Stiffness of Shaft = (Mass of Rotor*Angular Velocity^2*(Initial Distance of Centre of Gravity of Rotor+Additional Deflection of C.G of Rotor))/Additional Deflection of C.G of Rotor
Additional Deflection of Centre of Gravity of Rotor using Natural Circular Frequency
Go 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)
Mass of Rotor given Centrifugal Force
Go Maximum Mass of Rotor = Centrifugal Force/(Angular Velocity^2*(Initial Distance of Centre of Gravity of Rotor+Additional Deflection of C.G of Rotor))
Centrifugal Force Causing Shaft Deflection
Go Centrifugal Force = Maximum Mass of Rotor*Angular Velocity^2*(Initial Distance of Centre of Gravity of Rotor+Additional Deflection of C.G of Rotor)
Additional Deflection of Centre of Gravity of Rotor using Whirling Speed
Go Additional Deflection of C.G of Rotor = Initial Distance of Centre of Gravity of Rotor/((Angular Velocity/Critical or Whirling Speed)^2-1)
Static Deflection of Shaft
Go Static Deflection of Shaft = (Mass of Rotor*Acceleration due to Gravity)/Stiffness of Shaft
Critical or Whirling Speed given Static Deflection
Go Critical or Whirling Speed = sqrt(Acceleration due to Gravity/Static Deflection of Shaft)
Critical or Whirling Speed given Stiffness of Shaft
Go Critical or Whirling Speed = sqrt(Stiffness of Shaft/Mass of Rotor)
Natural Circular Frequency of Shaft
Go Natural Circular Frequency = sqrt(Stiffness of Shaft/Mass of Rotor)
Critical or Whirling Speed in R.P.S
Go Critical or Whirling Speed = 0.4985/sqrt(Static Deflection of Shaft)
Force Resisting Additional Deflection of Centre of Gravity of Rotor
Go Force = Stiffness of Spring*Additional Deflection of C.G of Rotor

Critical or Whirling Speed in R.P.S Formula

Critical or Whirling Speed = 0.4985/sqrt(Static Deflection of Shaft)
ωc = 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, The Critical or Whirling speed in r.p.s formula is defined as the speed at which unwanted vibration happens when shaft is rotating. Critical or Whirling Speed is denoted by ωc 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?
The Critical or Whirling speed in r.p.s formula is defined as the speed at which unwanted vibration happens when shaft is rotating and is represented as ωc = 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?
The Critical or Whirling speed in r.p.s formula is defined as the speed at which unwanted vibration happens when shaft is rotating 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)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!