Mass of Rotor given Centrifugal Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Mass of Rotor = Centrifugal Force/(Angular Velocity^2*(Initial Distance of Centre of Gravity of Rotor+Additional Deflection of C.G of Rotor))
mmax = Fc/(ω^2*(e+y))
This formula uses 5 Variables
Variables Used
Maximum Mass of Rotor - (Measured in Kilogram) - Maximum Mass of Rotor is both a property of a physical body and a measure of its resistance to acceleration.
Centrifugal Force - (Measured in Newton) - Centrifugal Force is the apparent outward force on a mass when it is rotated.
Angular Velocity - (Measured in Radian per Second) - The 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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Centrifugal Force: 35 Newton --> 35 Newton No Conversion Required
Angular Velocity: 11.2 Radian per Second --> 11.2 Radian per Second No Conversion Required
Initial Distance of Centre of Gravity of Rotor: 2 Millimeter --> 0.002 Meter (Check conversion here)
Additional Deflection of C.G of Rotor: 0.8 Millimeter --> 0.0008 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
mmax = Fc/(ω^2*(e+y)) --> 35/(11.2^2*(0.002+0.0008))
Evaluating ... ...
mmax = 99.6492346938776
STEP 3: Convert Result to Output's Unit
99.6492346938776 Kilogram --> No Conversion Required
FINAL ANSWER
99.6492346938776 99.64923 Kilogram <-- Maximum Mass of Rotor
(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

Mass of Rotor given Centrifugal Force Formula

Maximum Mass of Rotor = Centrifugal Force/(Angular Velocity^2*(Initial Distance of Centre of Gravity of Rotor+Additional Deflection of C.G of Rotor))
mmax = Fc/(ω^2*(e+y))

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 Mass of Rotor given Centrifugal Force?

Mass of Rotor given Centrifugal Force calculator uses Maximum Mass of Rotor = Centrifugal Force/(Angular Velocity^2*(Initial Distance of Centre of Gravity of Rotor+Additional Deflection of C.G of Rotor)) to calculate the Maximum Mass of Rotor, The Mass of Rotor given Centrifugal Force formula is defined as a quantitative measure of inertia, a fundamental property of all matter. Maximum Mass of Rotor is denoted by mmax symbol.

How to calculate Mass of Rotor given Centrifugal Force using this online calculator? To use this online calculator for Mass of Rotor given Centrifugal Force, enter Centrifugal Force (Fc), Angular Velocity (ω), Initial Distance of Centre of Gravity of Rotor (e) & Additional Deflection of C.G of Rotor (y) and hit the calculate button. Here is how the Mass of Rotor given Centrifugal Force calculation can be explained with given input values -> 1E+8 = 35/(11.2^2*(0.002+0.0008)).

FAQ

What is Mass of Rotor given Centrifugal Force?
The Mass of Rotor given Centrifugal Force formula is defined as a quantitative measure of inertia, a fundamental property of all matter and is represented as mmax = Fc/(ω^2*(e+y)) or 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 is the apparent outward force on a mass when it is rotated, The 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, The Initial Distance of Centre of Gravity of Rotor is a numerical measurement of how far apart objects or points are & Additional Deflection of C.G of Rotor is the degree to which a structural element is displaced under a load.
How to calculate Mass of Rotor given Centrifugal Force?
The Mass of Rotor given Centrifugal Force formula is defined as a quantitative measure of inertia, a fundamental property of all matter is calculated using Maximum Mass of Rotor = Centrifugal Force/(Angular Velocity^2*(Initial Distance of Centre of Gravity of Rotor+Additional Deflection of C.G of Rotor)). To calculate Mass of Rotor given Centrifugal Force, you need Centrifugal Force (Fc), Angular Velocity (ω), Initial Distance of Centre of Gravity of Rotor (e) & Additional Deflection of C.G of Rotor (y). With our tool, you need to enter the respective value for Centrifugal Force, Angular Velocity, Initial Distance of Centre of Gravity of Rotor & Additional Deflection of C.G of Rotor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!