In Star Trek: The Next Generation, a Borg Cube is a cubical structure of 3.036 km on a side and total mass of 9.0 x 1010 kg, (with a volume of 27 cubic kilometers). a) The Borg Cube is slowly rotating to face away from the Federation Fleet. If it takes 20 seconds to turn through one-quarter of a revolution, what's its average angular speed, in radians per second? b) If the Borg Cube stops rotating (comes to a full stop) in a time of exactly one minute, what is its average angular acceleration, in radians per second2? { c) What is the rotational kinetic energy of the Borg Cube if it is rotating at the angular speed of 0.07854 radians per second? {Note: for the moment of inertia of the Borg Cube, use the equation for a slab, rotating about an axis thru its center

In Star Trek: The Next Generation, a Borg Cube is a cubical structure of 3.036 km on a side and total mass of 9.0 x 1010 kg, (with a volume of 27 cubic kilometers). a) The Borg Cube is slowly rotating to face away from the Federation Fleet. If it takes 20 seconds to turn through one-quarter of a revolution, what's its average angular speed, in radians per second? b) If the Borg Cube stops rotating (comes to a full stop) in a time of exactly one minute, what is its average angular acceleration, in radians per second2? { c) What is the rotational kinetic energy of the Borg Cube if it is rotating at the angular speed of 0.07854 radians per second? {Note: for the moment of inertia of the Borg Cube, use the equation for a slab, rotating about an axis thru its center