Thermodynamics in rotating systems -- analysis of selected examples

Abstract

We solve a set of selected exercises on rotational motion requiring a mechanical and thermodynamical analysis. When non-conservative forces or thermal effects are present, a complete study must use the first law of thermodynamics together with the Newton's second law. The latter is here better expressed in terms of an `angular' impulse-momentum equation (Poinsot-Euler equation), or, equivalently, in terms of a `rotational' pseudo-work-energy equation. Thermodynamical aspects in rotational systems, when e.g. frictional forces are present or when there is a variation of the rotational kinetic energy due to internal sources of energy, are discussed.Comment: 15 pages, 4 figure