Gear Drive Motor Mass Moment of Inertia Equation
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Gear Drive Motor Mass 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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