technical data GearsSelection of reduction gears for DCBL Hypoid Motor /servo motors

How to calculate moment of inertia

1. Moment of inertia of a rotating body

moving body Moment of inertia calculation formula
SI units		 GD2 calculation formula
{gravity unit}
When the center of rotation is the same as the axis moving body I= 1 2 Mr2

(kg・m2)

 GD2= 1 2 WD2

{kgf・m2}
moving body I= 1 2 M(r12+r22)

(kg・m2)

 GD2= 1 2 W(D2+d2)

{kgf・m2}
moving body I= 1 12 M(A2+L2)

(kg・m2)

 GD2= 1 3 W(A2+L2)

{kgf・m2}
When the center of rotation is different from the axis moving body I=M r2 2 +R2

(kg・m2)

 GD2=W 1 2 D2+4R2

{kgf・m2}
moving body I= M 4 A2+L2 3 +4R2

(kg・m2)

 GD2=W A2+L2 3 +4R2

{kgf・m2}
moving body I= M 12 (A2+4L2)

(kg・m2)

 GD2= 1 3 W(A2+4L2)

{kgf・m2}

2. Equivalent moment of inertia of a body moving in parallel

moving body Moment of inertia calculation formula
SI units		 GD2 calculation formula
{gravity unit}
moving body I=M1r12+M2r12+ M3r12+M4r22 2

(kg・m2)

 GD2=W1D12+W2D12+ W3D12+W4D22 2

{kgf・m2}
moving body I= 1 4 (M1+M2)× V π n 2

(kg・m2)


n:Vに対応するモータの回転速度(r/min)		 GD2=(W1+W2)× V π n 2

{kgf・m2}


n:Vに対応するモータの回転数(r/min)
moving body I= 1 2 M1r2+M2r2

(kg・m2)

 GD2= 1 2 W1D2+W2D2

{kgf・m2}