FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Mass of Rotor given Centrifugal Force Formula

Fx Copy

LaTeX Copy

Maximum Mass of Rotor is both a property of a physical body and a measure of its resistance to acceleration. Check FAQs

m m = \frac{F c}{ω^{2} \cdot (e + y)}

m_m - Maximum Mass of Rotor?F_c - Centrifugal Force?ω - Angular Velocity?e - Initial Distance of Centre of Gravity of Rotor?y - Additional Deflection of C.G of Rotor?

Mass of Rotor given Centrifugal Force Example

With values

With units

Only example

Here is how the Mass of Rotor given Centrifugal Force equation looks like with Values.

Here is how the Mass of Rotor given Centrifugal Force equation looks like with Units.

Here is how the Mass of Rotor given Centrifugal Force equation looks like.

99.6492 = \frac{35}{{11.2}^{2} \cdot (2 + 0.8)}

99.6492kg = \frac{35N}{{11.2rad/s}^{2} \cdot (2mm + 0.8mm)}

99.6492 = \frac{35}{{11.2}^{2} \cdot (2 + 0.8)}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Theory of Machine » fx Mass of Rotor given Centrifugal Force

Mass of Rotor given Centrifugal Force Solution

Follow our step by step solution on how to calculate Mass of Rotor given Centrifugal Force?

FIRST Step Consider the formula

m m = \frac{F c}{ω^{2} \cdot (e + y)}

Next Step Substitute values of Variables

∴

m m = \frac{35N}{{11.2rad/s}^{2} \cdot (2mm + 0.8mm)}

Next Step Convert Units

∴

m m = \frac{35N}{{11.2rad/s}^{2} \cdot (0.002m + 0.0008m)}

Next Step Prepare to Evaluate

∴

m m = \frac{35}{{11.2}^{2} \cdot (0.002 + 0.0008)}

Next Step Evaluate

∴

m m = 99.6492346938776kg

LAST Step Rounding Answer

∴

m m = 99.6492kg

Mass of Rotor given Centrifugal Force Formula Elements

Variables

Maximum Mass of Rotor

Maximum Mass of Rotor is both a property of a physical body and a measure of its resistance to acceleration.

Symbol: m_m

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Maximum Mass of Rotor

Centrifugal Force

Centrifugal Force is the apparent outward force on a mass when it is rotated.

Symbol: F_c

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Centrifugal Force

Angular Velocity

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.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Velocity

Initial Distance of Centre of Gravity of Rotor

The Initial Distance of Centre of Gravity of Rotor is a numerical measurement of how far apart objects or points are.

Symbol: e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Initial Distance of Centre of Gravity of Rotor

Additional Deflection of C.G of Rotor

Additional Deflection of C.G of Rotor is the degree to which a structural element is displaced under a load.

Symbol: y

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Additional Deflection of C.G of Rotor

Other formulas in Critical or Whirling Speed of Shaft category

Go Static Deflection of Shaft

δ = \frac{m \cdot g}{S s}

Go Critical or Whirling Speed in R.P.S

ω c = \frac{0.4985}{\sqrt{δ}}

Go Critical or Whirling Speed given Static Deflection

ω c = \sqrt{\frac{g}{δ}}

Go Critical or Whirling Speed given Stiffness of Shaft

ω c = \sqrt{\frac{S s}{m}}

How to Evaluate Mass of Rotor given Centrifugal Force?

Mass of Rotor given Centrifugal Force evaluator 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 evaluate 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 evaluate Mass of Rotor given Centrifugal Force using this online evaluator? To use this online evaluator 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.

FAQs on Mass of Rotor given Centrifugal Force

What is the formula to find Mass of Rotor given Centrifugal Force?

The formula of Mass of Rotor given Centrifugal Force is expressed as Maximum Mass of Rotor = Centrifugal Force/(Angular Velocity^2*(Initial Distance of Centre of Gravity of Rotor+Additional Deflection of C.G of Rotor)). Here is an example- 99.64923 = 35/(11.2^2*(0.002+0.0008)).

How to calculate Mass of Rotor given Centrifugal Force?

With Centrifugal Force (F_c), Angular Velocity (ω), Initial Distance of Centre of Gravity of Rotor (e) & Additional Deflection of C.G of Rotor (y) we can find Mass of Rotor given Centrifugal Force using the 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)).

Can the Mass of Rotor given Centrifugal Force be negative?

No, the Mass of Rotor given Centrifugal Force, measured in Weight cannot be negative.

Which unit is used to measure Mass of Rotor given Centrifugal Force?

Mass of Rotor given Centrifugal Force is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Mass of Rotor given Centrifugal Force can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Mass of Rotor given Centrifugal Force Formula

Mass of Rotor given Centrifugal Force Example

Mass of Rotor given Centrifugal Force Solution

Mass of Rotor given Centrifugal Force Formula Elements

Other formulas in Critical or Whirling Speed of Shaft category

How to Evaluate Mass of Rotor given Centrifugal Force?

FAQs on Mass of Rotor given Centrifugal Force

Variable Name