Mass Moment of Inertia of 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%
✖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 [l_A]			+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, for Torsional Vibration of Two Rotor System [I_A']

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

STEP 0: Pre-Calculation Summary

Formula Used

Mass Moment of Inertia of Rotor A = (Mass Moment of Inertia of Mass Attached to Shaft B*Distance of Node From Rotor B)/(Distance of Node From Rotor A)
I_A' = (I_B*l_B)/(l_A)
This formula uses 4 Variables

Variables Used

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.
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.
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.

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)
Distance of Node From Rotor A: 14.4 Millimeter --> 0.0144 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_A' = (I_B*l_B)/(l_A) --> (36*0.0032)/(0.0144)

Evaluating ... ...

I_A' = 8

STEP 3: Convert Result to Output's Unit

8 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

8 Kilogram Square Meter <-- Mass Moment of Inertia of Rotor A

(Calculation completed in 00.004 seconds)

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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)

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

LaTeX Go

Mass Moment of Inertia of Rotor A = (Mass Moment of Inertia of Mass Attached to Shaft B*Distance of Node From Rotor B)/(Distance of Node From Rotor A)
I_A' = (I_B*l_B)/(l_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 Mass Moment of Inertia of Rotor A, for Torsional Vibration of Two Rotor System?

Mass Moment of Inertia of Rotor A, for Torsional Vibration of Two Rotor System calculator uses Mass Moment of Inertia of Rotor A = (Mass Moment of Inertia of Mass Attached to Shaft B*Distance of Node From Rotor B)/(Distance of Node From Rotor A) to calculate the Mass Moment of Inertia of Rotor A, Mass Moment of Inertia of Rotor A, 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, which is crucial in analyzing the torsional vibrations of a two-rotor system. Mass Moment of Inertia of Rotor A is denoted by I_A' symbol.

How to calculate Mass Moment of Inertia of Rotor A, for Torsional Vibration of Two Rotor System using this online calculator? To use this online calculator for Mass Moment of Inertia of 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) & Distance of Node From Rotor A (l_A) and hit the calculate button. Here is how the Mass Moment of Inertia of Rotor A, for Torsional Vibration of Two Rotor System calculation can be explained with given input values -> 8 = (36*0.0032)/(0.0144).

FAQ

What is Mass Moment of Inertia of Rotor A, for Torsional Vibration of Two Rotor System?

Mass Moment of Inertia of Rotor A, 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, which is crucial in analyzing the torsional vibrations of a two-rotor system and is represented as I_A' = (I_B*l_B)/(l_A) or Mass Moment of Inertia of Rotor A = (Mass Moment of Inertia of Mass Attached to Shaft B*Distance of Node From Rotor B)/(Distance of Node From 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 & 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.

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

Mass Moment of Inertia of Rotor A, 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, which is crucial in analyzing the torsional vibrations of a two-rotor system is calculated using Mass Moment of Inertia of Rotor A = (Mass Moment of Inertia of Mass Attached to Shaft B*Distance of Node From Rotor B)/(Distance of Node From Rotor A). To calculate Mass Moment of Inertia of 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) & Distance of Node From Rotor A (l_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 & Distance of Node From 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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