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Re: Vertical fall. A paradox?



A spherical object is moving vertically down through a medium, such as air
or water. The potential energy decreases. Initially a large fraction of PE
is converted into translational KE but eventually this conversion process
stops (at the macroscopic level) and PE is converted into Q only. ....

Now suppose the object is a rigid "bomb" whose fins are twisted. Its
rotational kinetic energy (spinning about the vertical axis) also increases
at the expense of potential energy. Will the angular velocity continue to
increase after the terminal linear velocity is reached? What is the maximum
possible rotational energy? We know that KErot can not exceed (m*g*h-KEtt),
where KEtt is the terminal translational KE. In fact, KErot must be smaller
than (m*g*h-KEtt) because part of the initial potential energy is thermalized.
What mechanism is responsible the "terminal angular velocity"? Why should the
net torque be zero at some rate of rotation? Constant terminal torque? Yes.
Constant terminal omega? (???).
Ludwik Kowalski