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

Page 67
Image 67
Yamaha YK120X, YK180X owner manual Ρπ D 2 h Kgm

YK120X, YK180X specifications

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