Lead Screw / Worm Gear Drive Motor Mass Moment of Inertia Equation

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Use these equations and calculator to determine the Amss Moment of Inertia of a lead screw / worm gear drive system. 

Worm Gear / Lead Screw Drive System


Motor Speed:


Load Torque Reflected to Motor:


Friction Force:


Friction Torque:


Total Inertia



Sm Motor Speed, rpm
Vl Load Speed, inches/minute
P =  Pitch, rev/in
Tr Torque reflected to motor, lb-in
Fl Load force, lb
e =   Efficiency
Fpf Preload Force, lb
Coefficient of friction of screw
Ff Friction force, lb
W =  Weight, lb
Tf Friction torque. lb-in
Jl Load inertia, lb-in-sec2
g =  Gravitational constant, 386 in/sec2
Jls Worm gear / lead screw inertia, lb-in-sec2
Jm Motor inertia, lb-in-sec2

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