Yamaha YK180X Moment of inertia of the chuck, Moment of inertia of workpiece, Total weight

CHAPTER 3 Installation

2)Moment of inertia of the chuck

When the chuck form resem-

bles that shown in Fig. 3-21, the weight of the chuck (Wc) is

Wc = 0.0078 ⋅ 2 ⋅ 4 ⋅ 6

= 0.37 (kgf) 6cm The moment of inertia of the chuck (Jc) is then calculated from Eq. 3-7.

Jc = 0.37 ⋅ (22+42) 12 ⋅ 980

+0.37 ⋅ 102

980

=0.038 (kgfcmsec2)

2cm

4cm

10cm

Fig. 3-21

R-axis

3) Moment of inertia of workpiece

When the workpiece form							10cm
resembles that shown in Fig.
3-22, the weight of the
workpiece (Ww) is
	ρπD2h			0.0078π ⋅ 22 ⋅ 4
Ww =		=				4cm
		4	4
	= 0.098 (kgf)
The moment of inertia of the
						2cm
workpiece (Jw) is then calcu-
lated from Eq. 3-5.
Jw=	0.097 ⋅ 22		+		0.097 ⋅ 102		Fig. 3-22
		⋅ 980
8			980

=0.010 (kgfcmsec2)

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 (kgfcmsec2)

R-axis

3-28