Technical Data  Drive chain  Roller Chain Selection

11. Calculating Moment of Inertia

Rotating body

shape Overview Ｉ(Moment of Inertia )calculation method
(SI Unit )		 {GD2calculation method Gravity unit }
Right cylinder Right cylinder I = 1 2 Mr2 (kg・m2) GD2 = 1 2 WD2 (kgf・m2)
Hollow right cylinder Hollow right cylinder I = 1 2 M(r12+r22) (kg・m2) GD2 = 1 2 W(D12 + D22)
(kgf・m2)
SI Unit {Gravity unit }
Moment of inertia (I) and flywheel effect (GD2) 1kg・m2(I) 4kgf・m2(GD2)

Linear body

Drive Overview Ｉ(Moment of Inertia )calculation method
(SI Unit )		 {GD2calculation method Gravity unit }
Chain Chain I = Mr2(kg・m2) GD2 = WD2(kgf・m2)
Shuttle traction Shuttle traction I = Mr2(kg・m2) GD2 = WD2(kgf・m2)
Pin gear drive Pin gear drive I = Mr2(kg・m2) GD2 = WD2(kgf・m2)
Lifting transmission Lifting transmission I = Mr2(kg・m2) GD2 = WD2(kgf・m2)

To convert moment of inertia load to motor shaft

  • n1：Motor shaft rotating speed
  • n2：Load shaft rotating speed
Moment of inertia load I
Iℓ = n2 n1 2 I
= I i2 (kg・m2)
Iℓ = M V 2πn1 2 (kg・m2) 		Moment of inertia load GD2
GD2ℓ = n2 n1 2 GD2
= GD2 i2 (kgf・m2)
GD2ℓ = W V πn1 2 (kgf・m2)

Note) The above does not include the mass of the sprocket and chain.

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