Massenträgheitsmoment Hohlkugel

Note: A homogeneous density distribution is assumed

Input unit

Output unit

Material

Format: Std Sci +.0 -.0

Input Values
Outer diameter	r_a	[cm]
Inner diameter	r_i	[cm]
Axis of rotation (parallel to main axis system)
Distance from the x-axis	d_x	[cm]
Distance from the y-axis	d_y	[cm]
Distance from the z-axis	d_z	[cm]

Output Values
Density	𝜌	-	[kg/m³]
Mass	m = 4 / 3 𝜌𝜋(r_a³ - r_i³)	-	[kg]
Moment of inertia	𝐽_x = 2 / 5 m( r_a⁵ - r_i⁵ / r_a³ - r_i³ ) + d_x²m	-	[kgm²]
Moment of inertia	𝐽_y = 2 / 5 m( r_a⁵ - r_i⁵ / r_a³ - r_i³ )+ d_y²m	-	[kgm²]
Moment of inertia	𝐽_z = 2 / 5 m( r_a⁵ - r_i⁵ / r_a³ - r_i³ ) + d_z²m	-	[kgm²]

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