Number of teeth=a
Calculation formulae for moment of inertia
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1. Thin shaft
Position of rotational axis: Perpendicular to the
shaft through the center of gravity
6. Thin round plate
Position of rotational axis: Through the center of
diameter
2. Thin rectangular plate
Position of rotational axis: Parallel side b and
through the center of gravity
7. Cylinder
Position of rotational axis: Through the center of
diameter and gravity
3. Thin rectangular plate (Including
Rectangular parallelepiped)
Position of rotational axis: Perpendicular to the
plate through the center of gravity
8. When the rotational axis and load center of
gravity are not consistent
4. Round plate (Including column)
Position of rotational axis: Through the center
axis
9.
Gear transmission
5. Solid sphere
Position of rotational axis: Through the center of
diameter
I: Moment of inertia [ kg
・
m ] m: Load mass [ kg ]
2
I = m
・
2
12
a
I = m
・
2
12
a
I = m
・
12
2
2
b
a
I = m
・
2
2
r
I = m
・
5
2
2
r
I = m
・
4
2
r
I = m
・
12
3
2
2
a
r
I = K + m
・
L
K: Moment of inertia around
the load center of gravity
4.Round plate
K = m
・
2
2
r
2
1. Find the moment of inertia
I for the rotation of shaft (B).
2
.
I is converted to the rotation
of the shaft (A).
I =
2
b
a
・
I
B
B
A
B
Number of teeth=b
Number of teeth=a
2020-10-13 10:43
DI987004
