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Centrifugal Force Causing Shaft Deflection Formula

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

F c = m m \cdot ω^{2} \cdot (e + y)

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

Centrifugal Force Causing Shaft Deflection Example

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Here is how the Centrifugal Force Causing Shaft Deflection equation looks like with Values.

Here is how the Centrifugal Force Causing Shaft Deflection equation looks like with Units.

Here is how the Centrifugal Force Causing Shaft Deflection equation looks like.

35.1232 = 100 \cdot {11.2}^{2} \cdot (2 + 0.8)

35.1232N = 100kg \cdot {11.2rad/s}^{2} \cdot (2mm + 0.8mm)

35.1232 = 100 \cdot {11.2}^{2} \cdot (2 + 0.8)

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Centrifugal Force Causing Shaft Deflection Solution

Follow our step by step solution on how to calculate Centrifugal Force Causing Shaft Deflection?

FIRST Step Consider the formula

F c = m m \cdot ω^{2} \cdot (e + y)

Next Step Substitute values of Variables

∴

F c = 100kg \cdot {11.2rad/s}^{2} \cdot (2mm + 0.8mm)

Next Step Convert Units

∴

F c = 100kg \cdot {11.2rad/s}^{2} \cdot (0.002m + 0.0008m)

Next Step Prepare to Evaluate

∴

F c = 100 \cdot {11.2}^{2} \cdot (0.002 + 0.0008)

LAST Step Evaluate

∴

F c = 35.1232N

Centrifugal Force Causing Shaft Deflection Formula Elements

Variables

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

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

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 Centrifugal Force Causing Shaft Deflection?

Centrifugal Force Causing Shaft Deflection evaluator uses Centrifugal Force = Maximum Mass of Rotor*Angular Velocity^2*(Initial Distance of Centre of Gravity of Rotor+Additional Deflection of C.G of Rotor) to evaluate the Centrifugal Force, Centrifugal Force Causing Shaft Deflection formula is defined as a measure of the force that causes a rotating shaft to bend or deflect from its original position, resulting in vibration and instability in the system, which can lead to mechanical failure if not addressed. Centrifugal Force is denoted by F_c symbol.

How to evaluate Centrifugal Force Causing Shaft Deflection using this online evaluator? To use this online evaluator for Centrifugal Force Causing Shaft Deflection, enter Maximum Mass of Rotor (m_m), 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 Centrifugal Force Causing Shaft Deflection

What is the formula to find Centrifugal Force Causing Shaft Deflection?

The formula of Centrifugal Force Causing Shaft Deflection is expressed as Centrifugal Force = Maximum Mass of Rotor*Angular Velocity^2*(Initial Distance of Centre of Gravity of Rotor+Additional Deflection of C.G of Rotor). Here is an example- 35.1232 = 100*11.2^2*(0.002+0.0008).

How to calculate Centrifugal Force Causing Shaft Deflection?

With Maximum Mass of Rotor (m_m), Angular Velocity (ω), Initial Distance of Centre of Gravity of Rotor (e) & Additional Deflection of C.G of Rotor (y) we can find Centrifugal Force Causing Shaft Deflection using the formula - Centrifugal Force = Maximum Mass of Rotor*Angular Velocity^2*(Initial Distance of Centre of Gravity of Rotor+Additional Deflection of C.G of Rotor).

Can the Centrifugal Force Causing Shaft Deflection be negative?

No, the Centrifugal Force Causing Shaft Deflection, measured in Force cannot be negative.

Which unit is used to measure Centrifugal Force Causing Shaft Deflection?

Centrifugal Force Causing Shaft Deflection is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Centrifugal Force Causing Shaft Deflection can be measured.

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: Unit

Centrifugal Force Causing Shaft Deflection Formula

Centrifugal Force Causing Shaft Deflection Example

Centrifugal Force Causing Shaft Deflection Solution

Centrifugal Force Causing Shaft Deflection Formula Elements

Other formulas in Critical or Whirling Speed of Shaft category

How to Evaluate Centrifugal Force Causing Shaft Deflection?

FAQs on Centrifugal Force Causing Shaft Deflection

Variable Name