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Kinetic energy
Table 9 shows the allowable kinetic energy of the rotary table.
The end angular speed
ω
is obtained by:
t
2
ω=
θ
: Rotation angle
[ rad ]
t
: Rotation time
[ s ]
Kinetic energy E is obtained by:
2
ω
I
2
1
E
Therefore, the rotary table rotation time is:
E
θ
I
2
t
2
- 28 -
E: Allowable kinetic energy
[ J ]
θ
: Rotation range
[ rad ]
I: Moment of inertia [ kg
・
m
2
]
During uniform acceleration, the angular acceleration
after
t
seconds can be
found as follows.
t
…
( 1 )
C
t
tdt
2
2
1
…
( 2 )
When
0
t
, rotation angle
=0, so the integration constant is
C
=0.
t
t
2
1
2
1
2
thus,
t
2
Table 9
Allowable kinetic energy (J)
Size
Allowable kinetic energy
1
0.001
2
0.0015
3
0.002
7
0.006
2020-10-13 10:38
DI987004