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Gear Drive Motor Moment of Inertia Equation

Gear Drive Motor Moment of Inertia Equation: Use these equations and calculator to determine the Inertia of a gear drive system. For any change in rotation speed, the load inertia will reflect back through the gears to the motor.  


Gear Drive System

Equation:

Motor Speed

        or  

Motor Torque:

Reflected Load Inertia

Total Inertia realized at Motor:

Where:

Sm =  Motor Speed, rpm
Sl =   Load Speed, rpm
Nl =   Number teeth on load gear
Nm =  Number teeth on motor gear
N =   Gear Ratio
Tm =  Torque of Motor, lb-in
Tl =  Torque of Load, lb-in
e =  Efficiency
Jl =   Load Inertia, lb-in.-sec2
Jm = Drive Motor Inertia, lb-in.-sec2
Jr = Reflected Load inertia, lb-in.-sec2
Jt = Total Inertia, lb-in.-sec2

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