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Appendix 2. Selection 
 
 
 
 
 
A2 - 10
 
  Linear movement load inertia: J
T
 
The inertia is calculated when a standard workpiece, tool, etc., is attached. The conversion to the 
motor shaft by the deceleration ratio is included in the movement amount per motor rotation. Refer 
to section "Appendix 2-5 Expressions for load inertia calculation". 
  J
T
 = W . ( 
S
20
  )
2
 = (500 + 10) . ( 
10 
 2
20
  3  )
2
 = 5.7 (kg.cm
2
 
  Load inertia: J
L
 
This is the sum of the total rotation load inertia and the linear movement load inertia.  
  J
L
 = 26.5 + 5.7 = 32.2 (kg.cm
2
When looking at the load inertia components, the linear movement mass tends to increase. 
However, the rotation load generally accounts for most of the inertia. The load inertia does not 
change much even if the workpiece mass changes greatly in the table axis.  
 
(2)  Obtaining unbalance torque 
 
The unbalance torque is obtained from the moving object mass. Here, the drive system efficiency is 
calculated as 1. 
 
Refer to section "Appendix 2-4 Motor shaft conversion load torque".  
 
T
U
 = 
(W
1
 
 W
2
) · g · 
S
 10
3
 · 
 = 
  (510 
 0)  9.8  10  2
 10
3
  1  3 
 = 5.3 (N.m) 
 
(3)  Obtaining friction torque 
 
The friction torque is obtained from the moving object mass and friction coefficient. Here, the drive 
system efficiency is calculated as 1. Refer to section "Appendix 2-4 Motor shaft conversion load 
torque".  
 
T
F
 = 
F · 
S
 10
3
 ·   = 
 · W · g · S
 10
3
 · 
 = 
  0.05 
 510  9.8  10  2
 10
3
  1  3 
 = 0.27 (N.m) 
 
(4)  Selecting the appropriate motor from the load inertia ratio 
 
Confirm that the motor speed is 3000r/min based on the rapid traverse rate and gear ratio, and 
make sure that it is less than the maximum speed. Motor brakes must be provided, so select a 
motor from the HF
B Series. Note that even when the motor has brakes, the motor inertia for 
motors without brakes is used to judge the load inertia ratio. 
 
The motor is judged as appropriate if the capacity is HF103 or more and the load inertia is within 
3-fold of the recommended load inertia ratio. 
 
Motor type 
Motor inertia 
(kg.cm
2
Load inertia 
(kg.cm
2
Load inertia 
magnification 
Judgment 
   HF53 
  6.1 
32.2 
5.29 
 
   HF103 
11.9 
32.2 
2.71 
 
   HF153 
17.8 
32.2 
1.81 
 
   HF203 
38.3 
32.2 
0.84 
 
   HF353 
75.0 
32.2 
0.43 
