As mechanical power is the product of torque and angular velocity, ... S. L. & Polagye, B. Intracycle angular velocity control of cross-flow turbines. Nat. Energy 2, 17103 (2017).

Nope: Clearly, this is not conserved. I could plot the angular velocity of each ball—but they would just have the same value and not add up to a constant. ... That is the cross product operator.