Yamaha YK120X, YK180X owner manual Moment of inertia for cylinder part

CHAPTER 3 Installation

3)Moment of inertia for cylinder (part 2)

The equation for the moment of inertia for a cylinder that has a rotation center such as shown in Fig. 3-14 is given below.

I=	ρπ D2 h		(		D 2	+		h2		) =	m	(	D 2	+	h2	)		(kgm2)
	16				4			3			4		4		3
J=	ρπ D2 h	(			D 2	+		h2	) =		W	(	D 2	+	h2		)	(kgfcmsec2)
	16g			4			3				4g		4		3

... (Eq. 3.3)

ρ: Density (kg/m3, kg/cm3)

g : Gravitational acceleration (cm/sec2)

m : Mass of cylinder (kg)

D

W : Weight of cylinder (kgf)

h 2

h

Fig. 3-14

4)Moment of inertia for prism

The equation for the moment of inertia for a prism that has a rotation center as shown in Fig. 3-15 is given as follows.

I=	ρ abc(a2 +b2 )	=	m(a2 +b2 )	(kgm2)
	12		12
J=	ρ abc(a2 +b 2 )	=	W(a2 +b2 )	(kgfcmsec2)
	12g		12g
			... (Eq. 3.4)

c

b

ρ: Density (kg/m3, kg/cm3)

g: Gravitational acceleration (cm/sec2) m : Mass of prism (kg)

W : Weight of prism (kgf)

1/2a

a

Fig. 3-15

3-25