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Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System Formula

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Mass Moment of Inertia of Rotor B is the rotational inertia of rotor B that opposes changes in its rotational motion in a torsional vibration system. Check FAQs

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

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

Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System Example

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Here is how the Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System equation looks like with Values.

Here is how the Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System equation looks like with Units.

Here is how the Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System equation looks like.

36.0608 = \frac{8.0135 \cdot 14.4}{3.2}

36.0608kg·m² = \frac{8.0135kg·m² \cdot 14.4mm}{3.2mm}

36.0608 = \frac{8.0135 \cdot 14.4}{3.2}

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Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System Solution

Follow our step by step solution on how to calculate Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I B' = \frac{8.0135kg·m² \cdot 14.4mm}{3.2mm}

Next Step Convert Units

∴

I B' = \frac{8.0135kg·m² \cdot 0.0144m}{0.0032m}

Next Step Prepare to Evaluate

∴

I B' = \frac{8.0135 \cdot 0.0144}{0.0032}

Next Step Evaluate

∴

I B' = 36.06075kg·m²

LAST Step Rounding Answer

∴

I B' = 36.0608kg·m²

Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System Formula Elements

Variables

Mass Moment of Inertia of Rotor B

Mass Moment of Inertia of Rotor B is the rotational inertia of rotor B that opposes changes in its rotational motion 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 Rotor B

Mass Moment of Inertia of Mass Attached to Shaft A

Mass Moment of Inertia of Mass Attached to Shaft A is a measure of the resistance to rotational motion of a mass attached to a shaft in a torsional vibration system.

Symbol: I_A

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 A

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

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

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

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

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}

How to Evaluate Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System?

Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System evaluator uses Mass Moment of Inertia of Rotor B = (Mass Moment of Inertia of Mass Attached to Shaft A*Distance of Node From Rotor A)/(Distance of Node From Rotor B) to evaluate the Mass Moment of Inertia of Rotor B, Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System formula is defined as a measure of the tendency of an object to resist changes in its rotational motion, specifically for the rotor B in a two-rotor system undergoing torsional vibrations. Mass Moment of Inertia of Rotor B is denoted by I_B' symbol.

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

FAQs on Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System

What is the formula to find Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System?

The formula of Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System is expressed as Mass Moment of Inertia of Rotor B = (Mass Moment of Inertia of Mass Attached to Shaft A*Distance of Node From Rotor A)/(Distance of Node From Rotor B). Here is an example- 36.06075 = (8.0135*0.0144)/(0.0032).

How to calculate Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System?

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

Can the Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System be negative?

No, the Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System, measured in Moment of Inertia cannot be negative.

Which unit is used to measure Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System?

Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System is usually measured using the Kilogram Square Meter[kg·m²] for Moment of Inertia. Kilogram Square Centimeter[kg·m²], Kilogram Square Millimeter[kg·m²], Gram Square Centimeter[kg·m²] are the few other units in which Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System can be measured.

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Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System Formula

Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System Example

Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System Solution

Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System Formula Elements

Other formulas in Free Torsional Vibrations of Two Rotor System category

How to Evaluate Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System?

FAQs on Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System

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