Tangent Drive Motor Mass Moment of Inertia Equation

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Tangent Drive Motor Mass Moment of Inertia Equation

Use these equations to determine the Inertia of a tangent drive system. Tangent drive may be the following: Timing belt and pulley, Chain and sprocket, rack and pinion, etc...  

Tangent Drive System
Conveyor System


Motor Speed:


Load Torque:


Friction Torque:


Load Inertia:


Total Inertia



Sm Motor Speed, rpm
Vl =   Load Speed, rpm
R =  Radius, in
Fl Load Force, lb
Tf =   Friction Torque, in-lb
Ff Friction Force, lb 
Tl Torque of Load, lb-in
Jl Load Inertia, lb-in.-sec2
Wlb Weight of load plus belt, lb
g =  Gravitational constant, 386 in./sec2
Jp1 = Pulley Inertia, lb-in.-sec2
Jp2 = Pulley Mass Moment of inertia, lb-in.-sec2
Jm = Motor Mass Moment of inertia, lb-in.-sec2
Jt = Total Mass Moment of Inertia, lb-in.-sec2

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