Mass of Rotor given Centrifugal Force Calculator

✖Centrifugal Force is the apparent outward force on a mass when it is rotated.ⓘ Centrifugal Force [F_c]			+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%
✖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%
✖Additional Deflection of C.G of Rotor is the degree to which a structural element is displaced under a load.ⓘ Additional Deflection of C.G of Rotor [y]			+10% -10%

✖Maximum Mass of Rotor is both a property of a physical body and a measure of its resistance to acceleration.ⓘ Mass of Rotor given Centrifugal Force [m_m]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Critical or Whirling Speed of Shaft Formulas PDF PDF Image

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))
m_m = F_c/(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) - 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

m_m = F_c/(ω^2*(e+y)) --> 35/(11.2^2*(0.002+0.0008))

Evaluating ... ...

m_m = 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)

You are here -

Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Mechanical » Critical or Whirling Speed of Shaft » Mass of Rotor given Centrifugal Force

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!

< 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)

Mass of Rotor given Centrifugal Force Formula

LaTeX 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))
m_m = F_c/(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, Mass of Rotor given Centrifugal Force formula is defined as the maximum mass of a rotor that can rotate safely at a given angular velocity without exceeding a critical speed, taking into account the centrifugal force, angular velocity, and radial distance from the axis of rotation. Maximum Mass of Rotor is denoted by m_m 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 (F_c), 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 -> 99.64923 = 35/(11.2^2*(0.002+0.0008)).

FAQ

What is Mass of Rotor given Centrifugal Force?

Mass of Rotor given Centrifugal Force formula is defined as the maximum mass of a rotor that can rotate safely at a given angular velocity without exceeding a critical speed, taking into account the centrifugal force, angular velocity, and radial distance from the axis of rotation and is represented as m_m = F_c/(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, 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?

Mass of Rotor given Centrifugal Force formula is defined as the maximum mass of a rotor that can rotate safely at a given angular velocity without exceeding a critical speed, taking into account the centrifugal force, angular velocity, and radial distance from the axis of rotation 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 (F_c), 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.

Home

FREE PDFs

🔍 Search