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

✖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.ⓘ Mass Moment of Inertia of Mass Attached to Shaft B [I_B]			+10% -10%
✖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.ⓘ Distance of Node From Rotor B [l_B]			+10% -10%
✖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.ⓘ Mass Moment of Inertia of Rotor A [I_A']			+10% -10%

✖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.ⓘ Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System [l_A]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
l_A = (I_B*l_B)/(I_A')
This formula uses 4 Variables

Variables Used

Distance of Node From Rotor A - (Measured in Meter) - 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.
Mass Moment of Inertia of Mass Attached to Shaft B - (Measured in Kilogram Square Meter) - 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.
Distance of Node From Rotor B - (Measured in Meter) - 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.
Mass Moment of Inertia of Rotor A - (Measured in Kilogram Square Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Mass Moment of Inertia of Mass Attached to Shaft B: 36 Kilogram Square Meter --> 36 Kilogram Square Meter No Conversion Required
Distance of Node From Rotor B: 3.2 Millimeter --> 0.0032 Meter (Check conversion here)
Mass Moment of Inertia of Rotor A: 8 Kilogram Square Meter --> 8 Kilogram Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_A = (I_B*l_B)/(I_A') --> (36*0.0032)/(8)

Evaluating ... ...

l_A = 0.0144

STEP 3: Convert Result to Output's Unit

0.0144 Meter -->14.4 Millimeter (Check conversion here)

FINAL ANSWER

14.4 Millimeter <-- Distance of Node From Rotor A

(Calculation completed in 00.020 seconds)

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Home » Physics » Theory of Machine » Vibrations » Torsional Vibrations » Free Torsional Vibrations of Rotor Systems » Mechanical » Free Torsional Vibrations of Two Rotor System » Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System

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National Institute Of Technology (NIT), Hamirpur

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< Free Torsional Vibrations of Two Rotor System Calculators

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

LaTeX Go Frequency = (sqrt((Modulus of Rigidity*Polar Moment of Inertia)/(Distance of Node From Rotor B*Mass Moment of Inertia of Rotor B)))/(2*pi)

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

LaTeX Go Frequency = (sqrt((Modulus of Rigidity*Polar Moment of Inertia)/(Distance of Node From Rotor A*Mass Moment of Inertia of Rotor A)))/(2*pi)

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

LaTeX Go Distance of Node From Rotor B = (Mass Moment of Inertia of Mass Attached to Shaft A*Distance of Node From Rotor A)/(Mass Moment of Inertia of Rotor B)

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

LaTeX Go 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)

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

LaTeX Go

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)
l_A = (I_B*l_B)/(I_A')

What is the difference between free and forced vibration?

Free vibrations involve no transfer of energy between the vibrating object and its surroundings, whereas forced vibrations occur when there's an external driving force and thus transfer of energy between the vibrating object and its surroundings.

How to Calculate 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 calculator 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 calculate 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 calculate Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System using this online calculator? To use this online calculator 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. Here is how the Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System calculation can be explained with given input values -> 14400 = (36*0.0032)/(8).

FAQ

What is 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 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 and is represented as l_A = (I_B*l_B)/(I_A') or 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). 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, 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 & 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.

How to calculate 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 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 is calculated using 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 calculate Distance of Node from Rotor A, for Torsional Vibration of Two Rotor System, you need 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'). With our tool, you need to enter the respective value for Mass Moment of Inertia of Mass Attached to Shaft B, Distance of Node From Rotor B & Mass Moment of Inertia of Rotor A and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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