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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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