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Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System Formula

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Distance of Node From Rotor A is the length of the line segment from a node to the axis of rotation of Rotor A in a torsional system. Check FAQs

l A = \frac{I B \cdot l B}{I A'}

l_A - Distance of Node From Rotor A?I_B - Mass Moment of Inertia of Mass Attached to Shaft B?l_B - Distance of Node From Rotor B?I_A' - Mass Moment of Inertia of Rotor A?

Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System Example

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Here is how the Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System equation looks like with Values.

Here is how the Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System equation looks like with Units.

Here is how the Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System equation looks like.

14.4 = \frac{36 \cdot 3.2}{8}

14.4mm = \frac{36kg·m² \cdot 3.2mm}{8kg·m²}

14.4 = \frac{36 \cdot 3.2}{8}

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Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System Solution

Follow our step by step solution on how to calculate Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System?

FIRST Step Consider the formula

l A = \frac{I B \cdot l B}{I A'}

Next Step Substitute values of Variables

∴

l A = \frac{36kg·m² \cdot 3.2mm}{8kg·m²}

Next Step Convert Units

∴

l A = \frac{36kg·m² \cdot 0.0032m}{8kg·m²}

Next Step Prepare to Evaluate

∴

l A = \frac{36 \cdot 0.0032}{8}

Next Step Evaluate

∴

l A = 0.0144m

LAST Step Convert to Output's Unit

∴

l A = 14.4mm

Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System Formula Elements

Variables

Distance of Node From Rotor A

Distance of Node From Rotor A is the length of the line segment from a node to the axis of rotation of Rotor A in a torsional system.

Symbol: l_A

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance of Node From Rotor A

Mass Moment of Inertia of Mass Attached to Shaft B

Mass Moment of Inertia of Mass Attached to Shaft B is the rotational inertia of the mass attached to shaft B in a torsional vibration system.

Symbol: I_B

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Mass Moment of Inertia of Mass Attached to Shaft B

Distance of Node From Rotor B

Distance of Node From Rotor B is the length of the shortest path between a node and the rotor B in a torsional vibration system.

Symbol: l_B

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance of Node From Rotor B

Mass Moment of Inertia of Rotor A

Mass Moment of Inertia of Rotor A is a measure of the rotor's resistance to changes in its rotation rate, influencing torsional vibration behavior.

Symbol: I_A'

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Mass Moment of Inertia of Rotor A

Other formulas in Free Torsional Vibrations of Two Rotor System category

Go Distance of Node from Rotor B, for Torsional Vibration of Two Rotor System

l B = \frac{I A \cdot l A}{I B'}

Go Natural Frequency of Free Torsional Vibration for Rotor B of Two Rotor System

f = \frac{\sqrt{\frac{G \cdot J}{l B \cdot I B'}}}{2 \cdot π}

Go Natural Frequency of Free Torsional Vibration for Rotor A of Two Rotor System

f = \frac{\sqrt{\frac{G \cdot J}{l A \cdot I A'}}}{2 \cdot π}

Go Mass Moment of Inertia of Rotor A, for Torsional Vibration of Two Rotor System

I A' = \frac{I B \cdot l B}{l A}

How to Evaluate Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System?

Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System evaluator uses Distance of Node From Rotor A = (Mass Moment of Inertia of Mass Attached to Shaft B*Distance of Node From Rotor B)/(Mass Moment of Inertia of Rotor A) to evaluate the Distance of Node From Rotor A, Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System formula is defined as a measure of the location of a node in a two-rotor system undergoing torsional vibration, providing insight into the system's dynamic behavior and stability. Distance of Node From Rotor A is denoted by l_A symbol.

How to evaluate Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System using this online evaluator? To use this online evaluator for Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System, enter Mass Moment of Inertia of Mass Attached to Shaft B (I_B), Distance of Node From Rotor B (l_B) & Mass Moment of Inertia of Rotor A (I_A') and hit the calculate button.

FAQs on Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System

What is the formula to find Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System?

The formula of Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System is expressed as Distance of Node From Rotor A = (Mass Moment of Inertia of Mass Attached to Shaft B*Distance of Node From Rotor B)/(Mass Moment of Inertia of Rotor A). Here is an example- 14400 = (36*0.0032)/(8).

How to calculate Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System?

With Mass Moment of Inertia of Mass Attached to Shaft B (I_B), Distance of Node From Rotor B (l_B) & Mass Moment of Inertia of Rotor A (I_A') we can find Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System using the formula - Distance of Node From Rotor A = (Mass Moment of Inertia of Mass Attached to Shaft B*Distance of Node From Rotor B)/(Mass Moment of Inertia of Rotor A).

Can the Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System be negative?

No, the Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System, measured in Length cannot be negative.

Which unit is used to measure Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System?

Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System can be measured.

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Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System Formula

Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System Example

Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System Solution

Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System Formula Elements

Other formulas in Free Torsional Vibrations of Two Rotor System category

How to Evaluate Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System?

FAQs on Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System

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