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

✖Mass Moment of Inertia of mass attached to shaft A is a quantity expressing a body's tendency to resist angular acceleration.ⓘ Mass Moment of Inertia of Mass Attached to Shaft A [I_A]			+10% -10%
✖Distance of Node from Rotor A is a numerical measurement of how far apart objects or points are.ⓘ Distance of Node from Rotor A [l_A]			+10% -10%
✖Distance of Node from Rotor B is a numerical measurement of how far apart objects or points are.ⓘ Distance of Node from Rotor B [l_B]			+10% -10%

✖Mass moment of inertia of rotor B is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis.ⓘ Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System [I_{B rotor}]

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Formula

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

Formula

`"I"_{"B rotor"} = ("I"_{"A"}*"l"_{"A"})/("l"_{"B"})`

Example

`"81kg·m²"=("18kg·m²"*"14.4mm")/("3.2mm")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
I_{B rotor} = (I_A*l_A)/(l_B)
This formula uses 4 Variables

Variables Used

Mass Moment of Inertia of Rotor B - (Measured in Kilogram Square Meter) - Mass moment of inertia of rotor B is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis.
Mass Moment of Inertia of Mass Attached to Shaft A - (Measured in Kilogram Square Meter) - Mass Moment of Inertia of mass attached to shaft A is a quantity expressing a body's tendency to resist angular acceleration.
Distance of Node from Rotor A - (Measured in Meter) - Distance of Node from Rotor A is a numerical measurement of how far apart objects or points are.
Distance of Node from Rotor B - (Measured in Meter) - Distance of Node from Rotor B is a numerical measurement of how far apart objects or points are.

STEP 1: Convert Input(s) to Base Unit

Mass Moment of Inertia of Mass Attached to Shaft A: 18 Kilogram Square Meter --> 18 Kilogram Square Meter No Conversion Required
Distance of Node from Rotor A: 14.4 Millimeter --> 0.0144 Meter (Check conversion here)
Distance of Node from Rotor B: 3.2 Millimeter --> 0.0032 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_{B rotor} = (I_A*l_A)/(l_B) --> (18*0.0144)/(0.0032)

Evaluating ... ...

I_{B rotor} = 81

STEP 3: Convert Result to Output's Unit

81 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

81 Kilogram Square Meter <-- Mass Moment of Inertia of Rotor B

(Calculation completed in 00.005 seconds)

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Home » Physics » Theory of Machine » Vibrations » Torsional Vibrations » Free Torsional Vibrations of Rotor Systems » Free Torsional Vibrations of Two Rotor System » Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System

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< 6 Free Torsional Vibrations of Two Rotor System Calculators

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

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

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)

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

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)

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

Go 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)

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

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

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 B, for Torsional Vibration of Two Rotor System 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)
I_{B rotor} = (I_A*l_A)/(l_B)

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 B, for Torsional Vibration of Two Rotor System?

Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System calculator 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 calculate the Mass Moment of Inertia of Rotor B, The Mass moment of inertia of rotor B, for torsional vibration of two rotor system formula, is defined as a quantity that determines the torque needed for a desired angular acceleration about a rotational axis. Mass Moment of Inertia of Rotor B is denoted by I_{B rotor} symbol.

How to calculate Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System using this online calculator? To use this online calculator 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. Here is how the Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System calculation can be explained with given input values -> 81 = (18*0.0144)/(0.0032).

FAQ

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

The Mass moment of inertia of rotor B, for torsional vibration of two rotor system formula, is defined as a quantity that determines the torque needed for a desired angular acceleration about a rotational axis and is represented as I_{B rotor} = (I_A*l_A)/(l_B) or 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). Mass Moment of Inertia of mass attached to shaft A is a quantity expressing a body's tendency to resist angular acceleration, Distance of Node from Rotor A is a numerical measurement of how far apart objects or points are & Distance of Node from Rotor B is a numerical measurement of how far apart objects or points are.

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

The Mass moment of inertia of rotor B, for torsional vibration of two rotor system formula, is defined as a quantity that determines the torque needed for a desired angular acceleration about a rotational axis is calculated using 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 calculate Mass Moment of Inertia of Rotor B, for Torsional Vibration of Two Rotor System, you need 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). With our tool, you need to enter the respective value for Mass Moment of Inertia of Mass Attached to Shaft A, Distance of Node from Rotor A & Distance of Node from Rotor B 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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