The hot‐electron energy‐loss rate conditioned by acoustic (LA) phonon modes for a free‐standing InGaAs cylindrical quantum wire is investigated theoretically. The energy‐loss rate as a function of wire radius, electron density and electron temperature is obtained. The comparison of our theoretical results for energy‐loss rate per electron with the experimental results obtained in the acoustic‐phonon scattering regime shows a sufficient agreement. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)