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Moments of Inertia
Iz:
Moment of Inertia z axis
m:
Mass
r:
Radius
Moment of Inertia: Cylinder with thin thickness
Iz
=
m
·
r²
kg·cm²
kg·m²
kg·mm²
Lb·ft²
Lb·in²
Lb·yd²
g
kg
lb
mg
oz (Av)
oz (Troy)
slug
t
cm
ft
in
km
m
mi
mm
nmi
yd
Moment of Inertia: Cylinder with thick thickness
Iz
=
m
· (
r1²
+
r2²
) / 2
kg·cm²
kg·m²
kg·mm²
Lb·ft²
Lb·in²
Lb·yd²
g
kg
lb
mg
oz (Av)
oz (Troy)
slug
t
cm
ft
in
km
m
mi
mm
nmi
yd
cm
ft
in
km
m
mi
mm
nmi
yd
Moment of Inertia: Solid Cylinder
Iz
= (1/2) ·
m
·
r²
kg·cm²
kg·m²
kg·mm²
Lb·ft²
Lb·in²
Lb·yd²
g
kg
lb
mg
oz (Av)
oz (Troy)
slug
t
cm
ft
in
km
m
mi
mm
nmi
yd
Moment of Inertia: Solid Sphere
Iz
= (2/5) ·
m
·
r²
kg·cm²
kg·m²
kg·mm²
Lb·ft²
Lb·in²
Lb·yd²
g
kg
lb
mg
oz (Av)
oz (Troy)
slug
t
cm
ft
in
km
m
mi
mm
nmi
yd
Moment of Inertia: Hollow Sphere
Iz
= (2/3) ·
m
·
r²
kg·cm²
kg·m²
kg·mm²
Lb·ft²
Lb·in²
Lb·yd²
g
kg
lb
mg
oz (Av)
oz (Troy)
slug
t
cm
ft
in
km
m
mi
mm
nmi
yd
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