6.11 If the hull is modeled as a constant-thickness, constant-density thin shell, its angular momentum is given by: (Angular momentum) = (Moment of inertia about spin axis)whull [(Mass of cylinder)Rhull 2 + (il (Mass of spherical endcaps)¾ull 2 Jwhull where h ¾ull length of cylinder section (m) density of hull (kg/m 3 ) thickness of hull (m) radius of cylinder and spherical endcaps (m) spin rate of hull (radians/sec) ( 6. 2) Given that we wish to achieve a particular centrifugal acceleration C, and since: Then (Angular momentum) = [(2rrlhullph)Rhull 2 · 5 + <!rrph)Rhull 3 · 5 ic· 5 Thus angular momentum has a strong dependence on ¾ull" The angular momentum of the hull must be achieved through an up-spin procedure. Modeling this procedure as a constant torque applied until the angular momentum reaches the desired value, we have: (Angular momentum) = (Torque applied) (Time of application) Since it was desirable to minimize both terms, the torque applied for structural reasons and the time of application for economic ones, it was in the general interest to keep the angular momentum low and therefore the radius R low as well. Therefore the ES group decided to use a radius of 100 meters.
RkJQdWJsaXNoZXIy MTU5NjU0Mg==