1.3 Operating conditions
1-24
1. Specifications
●
Formulae for calculating moment of inertia of typical shapes
1. When the rotational axis passes through the
center of the object
(1) Moment of inertia of cylinder 1
* The same formula can be applied irrespective of the
height of the cylinder (also for circular plate)
<Formula>
J = M × (D × 10
-3
)
2
/ 8
[kg·m
2
]
(2) Moment of inertia of cylinder 2
<Formula>
J = M × ((D × 10
-3
)
2
/ 4 + (H × 10
-3
)
2
/ 3) / 4
[kg·m
2
]
(3) Moment of inertia of prism 1
* The same formula can be applied irrespective of the
height of the prism (also for rectangular plate)
<Formula>
J = M × ((A × 10
-3
)
2
+ (B × 10
-3
)
2
) / 12
[kg·m
2
]
2. When the center of the object is offset from the
rotational axis
(4) Moment of inertia of cylinder 3
* The same formula can be applied irrespective of the
height of the cylinder (also for circular plate)
<Formula>
J = M × (D × 10
-3
)
2
/ 8 + M × (L × 10
-3
)
2
[kg·m
2
]
(5) Moment of inertia of cylinder 4
<Formula>
J = M × ((D × 10
-3
)
2
/ 4 + (H × 10
-3
)
2
/ 3) / 4 + M × (L × 10
-3
)
2
[kg·m
2
]
(6) Moment of inertia of prism 2
* The same formula can be applied irrespective of the
height of the prism (also for rectangular plate)
<Formula>
J = M × ((A × 10
-3
)
2
+ (B × 10
-3
)
2
) /12 + M × (L × 10
-3
)
2
[kg·m
2
]
Moment of inertia of cylinder: J (kg·m
2
)
Cylinder weight: M (unit: kg)
Cylinder diameter: D (mm)
Moment of inertia of cylinder: J (kg·m
2
)
Cylinder weight: M (kg)
Cylinder diameter: D (mm)
Cylinder length: H (mm)
Moment of inertia of prism: J (kg·m
2
)
One side of prism: A (mm)
One side of prism: B (mm)
Moment of inertia of cylinder: J (kg·m
2
)
Cylinder weight: M (kg)
Cylinder diameter: D (mm)
Distance from rotational axis to center: L (mm)
Moment of inertia of cylinder: J (kg·m
2
)
Cylinder weight: M (kg)
Cylinder diameter: D (mm)
Cylinder length: H (mm)
Distance from rotational axis to center: L (mm)
Moment of inertia of prism: J (kg·m
2
)
Prism weight: M (kg)
One side of prism: A (mm)
One side of prism: B (mm)
Distance from rotational axis to center: L (mm)
Summary of Contents for ELECYLINDER EC-RTC9
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Page 26: ...1 5 Accessories 1 35 Power I O cable 1 35 Power I O connector 1 36...
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Page 78: ...2 14 2 Installation...
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Page 132: ...5 6 5 Preventive Predictive Maintenance...
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Page 148: ...6 14 6 Parameters...
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Page 168: ...7 18 7 Troubleshooting...
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Page 214: ...10 2 10 Life...
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Page 219: ...Appendix 12 1 Index 12 1 12 2 Revision history 12 4 ELECYLINDER Chapter12...
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