Yamaha YK-X Series User Manual page 60

CHAPTER 3 Installation
2) Moment of inertia of the chuck
When the chuck form resem-
bles that shown in Fig. 3-23,
the weight of the chuck (Wc)
is
Wc = 0.0078 × 2 × 4 × 6
= 0.37 (kgf)
The moment of inertia of the
chuck (Jc) is then calculated
from Eq. 3-7.
0.37 × (2
2
+4
Jc =
12 × 980
0.37 × 10
2
+
980
= 0.038 (kgfcmsec
3) Moment of inertia of workpiece
When the workpiece form
resembles that shown in Fig.
3-24, the weight of the
workpiece (Ww) is
ρπD 0.0078π × 2
2
h
Ww = =
4
= 0.098 (kgf)
The moment of inertia of the
workpiece (Jw) is then calcu-
lated from Eq. 3-5.
0.097 × 2
2
Jw= +
8 × 980
= 0.010 (kgfcmsec
4) Total weight
The total weight (W) is calculated as follows:
W = Ws + Wc + Ww = 0.84 (kgf)
5) Total moment of inertia
The total moment of inertia (J) is then obtained as follows:
J = Js + Jc + Jw = 0.062 (kgfcmsec
6cm
2
)
2
)
× 4
2
4cm
4
0.097 × 10
2
980
2
)
2
)
3-24
4cm
Fig. 3-23
Fig. 3-24
R-axis
R-axis