Massenträgheitsmoment Hohlkugel

Massenträgheitsmoment Hohlkugel

Note: A homogeneous density distribution is assumed

Format:   Std Sci +.0 -.0
Input Values
ra [cm]
ri [cm]
Axis of rotation (parallel to main axis system)
dx [cm]
dy [cm]
dz [cm]
Output Values
Density 𝜌 - [kg/m³]
Mass
m =
4 / 3
𝜌𝜋(ra3 - ri3)
- [kg]
Moment of inertia
𝐽x =
2 / 5
m(
ra5 - ri5 / ra3 - ri3
) + dx2m
- [kgm²]
Moment of inertia
𝐽y =
2 / 5
m(
ra5 - ri5 / ra3 - ri3
)+ dy2m
- [kgm²]
Moment of inertia
𝐽z =
2 / 5
m(
ra5 - ri5 / ra3 - ri3
) + dz2m
- [kgm²]
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