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Moment-of-inertia Formulas
1. Cylinder (1)
(Axis of rotation = Center axis)
4. Sphere
(Axis of rotation = Center axis)
2. Cylinder (2)
(The axis of rotation passes through the center of gravity.)
5. Center of gravity not on the axis of rotation.
Ig: Moment of inertia around center of gravity
3. Rectangular parallelepiped
(The axis of rotation passes through the center of gravity.)
l: Moment of inertia [kgm
2
]
m: Mass [kg]
r: Radius [m]
a, b, c,
: Length [m]
Calculation example : When calculating the moment of inertia of a complicated shape, divide it into simple
parts as much as possible for easier calculations.
As shown in the figure below, divide the hand into three parts ( (1), (2), (3) ).
Calculation Example of Hand's Moment of Inertia Around the T Axis
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