Equivalent Mass Moment of Inertia of Geared System with Shaft A and Shaft B Calculator

✖Mass Moment of Inertia of Mass Attached to Shaft A is a measure of an object's resistance to changes in its rotation.ⓘ Mass Moment of Inertia of Mass Attached to Shaft A [I_A]			+10% -10%
✖Gear Ratio is the ratio of the angular velocity of the output shaft to the angular velocity of the input shaft in a mechanical system.ⓘ Gear Ratio [G]			+10% -10%
✖Mass Moment of Inertia of Mass Attached to Shaft B is a measure of an object's resistance to changes in its rotational motion around a specific axis.ⓘ Mass Moment of Inertia of Mass Attached to Shaft B [I_B]			+10% -10%
✖Gear Efficiency is the ratio of output power to input power of a gear system, indicating the system's ability to transmit power efficiently.ⓘ Gear Efficiency [η]			+10% -10%

✖Equivalent Mass of Geared System is the effective mass of a geared system, considering the moment of inertia and kinetic energy of the system.ⓘ Equivalent Mass Moment of Inertia of Geared System with Shaft A and Shaft B [MOI]

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Equivalent Mass Moment of Inertia of Geared System with Shaft A and Shaft B Solution

STEP 0: Pre-Calculation Summary

Formula Used

Equivalent Mass of Geared System = Mass Moment of Inertia of Mass Attached to Shaft A+(Gear Ratio^2*Mass Moment of Inertia of Mass Attached to Shaft B)/Gear Efficiency
MOI = I_A+(G^2*I_B)/η
This formula uses 5 Variables

Variables Used

Equivalent Mass of Geared System - (Measured in Kilogram Square Meter) - Equivalent Mass of Geared System is the effective mass of a geared system, considering the moment of inertia and kinetic energy of the system.
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 measure of an object's resistance to changes in its rotation.
Gear Ratio - Gear Ratio is the ratio of the angular velocity of the output shaft to the angular velocity of the input shaft in a mechanical 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 a measure of an object's resistance to changes in its rotational motion around a specific axis.
Gear Efficiency - Gear Efficiency is the ratio of output power to input power of a gear system, indicating the system's ability to transmit power efficiently.

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
Gear Ratio: 3 --> No Conversion Required
Mass Moment of Inertia of Mass Attached to Shaft B: 36 Kilogram Square Meter --> 36 Kilogram Square Meter No Conversion Required
Gear Efficiency: 0.82 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

MOI = I_A+(G^2*I_B)/η --> 18+(3^2*36)/0.82

Evaluating ... ...

MOI = 413.121951219512

STEP 3: Convert Result to Output's Unit

413.121951219512 Kilogram Square Meter --> No Conversion Required

FINAL ANSWER

413.121951219512 ≈ 413.122 Kilogram Square Meter <-- Equivalent Mass of Geared System

(Calculation completed in 00.020 seconds)

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< Kinetics Calculators

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Equivalent Mass Moment of Inertia of Geared System with Shaft A and Shaft B Formula

LaTeX Go

Equivalent Mass of Geared System = Mass Moment of Inertia of Mass Attached to Shaft A+(Gear Ratio^2*Mass Moment of Inertia of Mass Attached to Shaft B)/Gear Efficiency
MOI = I_A+(G^2*I_B)/η

What is the difference between Mass and Moment of Inertia?

The mass of a body usually refers to its inertial mass. The moment of inertia is dependent on the mass of a body. The moment of inertia depends on the axis of rotation and the structure of the body. Inertial mass is the same for a particular body no matter what.

How to Calculate Equivalent Mass Moment of Inertia of Geared System with Shaft A and Shaft B?

Equivalent Mass Moment of Inertia of Geared System with Shaft A and Shaft B calculator uses Equivalent Mass of Geared System = Mass Moment of Inertia of Mass Attached to Shaft A+(Gear Ratio^2*Mass Moment of Inertia of Mass Attached to Shaft B)/Gear Efficiency to calculate the Equivalent Mass of Geared System, Equivalent Mass Moment of Inertia of Geared System with Shaft A and Shaft B formula is defined as a measure of the rotational inertia of a geared system, considering the moments of inertia of Shaft A and Shaft B, and the gear ratio, which affects the overall rotational motion of the system. Equivalent Mass of Geared System is denoted by MOI symbol.

How to calculate Equivalent Mass Moment of Inertia of Geared System with Shaft A and Shaft B using this online calculator? To use this online calculator for Equivalent Mass Moment of Inertia of Geared System with Shaft A and Shaft B, enter Mass Moment of Inertia of Mass Attached to Shaft A (I_A), Gear Ratio (G), Mass Moment of Inertia of Mass Attached to Shaft B (I_B) & Gear Efficiency (η) and hit the calculate button. Here is how the Equivalent Mass Moment of Inertia of Geared System with Shaft A and Shaft B calculation can be explained with given input values -> 413.122 = 18+(3^2*36)/0.82.

FAQ

What is Equivalent Mass Moment of Inertia of Geared System with Shaft A and Shaft B?

Equivalent Mass Moment of Inertia of Geared System with Shaft A and Shaft B formula is defined as a measure of the rotational inertia of a geared system, considering the moments of inertia of Shaft A and Shaft B, and the gear ratio, which affects the overall rotational motion of the system and is represented as MOI = I_A+(G^2*I_B)/η or Equivalent Mass of Geared System = Mass Moment of Inertia of Mass Attached to Shaft A+(Gear Ratio^2*Mass Moment of Inertia of Mass Attached to Shaft B)/Gear Efficiency. Mass Moment of Inertia of Mass Attached to Shaft A is a measure of an object's resistance to changes in its rotation, Gear Ratio is the ratio of the angular velocity of the output shaft to the angular velocity of the input shaft in a mechanical system, Mass Moment of Inertia of Mass Attached to Shaft B is a measure of an object's resistance to changes in its rotational motion around a specific axis & Gear Efficiency is the ratio of output power to input power of a gear system, indicating the system's ability to transmit power efficiently.

How to calculate Equivalent Mass Moment of Inertia of Geared System with Shaft A and Shaft B?

Equivalent Mass Moment of Inertia of Geared System with Shaft A and Shaft B formula is defined as a measure of the rotational inertia of a geared system, considering the moments of inertia of Shaft A and Shaft B, and the gear ratio, which affects the overall rotational motion of the system is calculated using Equivalent Mass of Geared System = Mass Moment of Inertia of Mass Attached to Shaft A+(Gear Ratio^2*Mass Moment of Inertia of Mass Attached to Shaft B)/Gear Efficiency. To calculate Equivalent Mass Moment of Inertia of Geared System with Shaft A and Shaft B, you need Mass Moment of Inertia of Mass Attached to Shaft A (I_A), Gear Ratio (G), Mass Moment of Inertia of Mass Attached to Shaft B (I_B) & Gear Efficiency (η). With our tool, you need to enter the respective value for Mass Moment of Inertia of Mass Attached to Shaft A, Gear Ratio, Mass Moment of Inertia of Mass Attached to Shaft B & Gear Efficiency 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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