  We study the stratified gas in a rapidly rotating centrifuge as a model for
the Earth's atmosphere. Based on methods of perturbation theory, it is shown
that in certain regimes, internal waves in the gas centrifuge have the same
dispersion relation to leading order as their atmospheric siblings. Assuming an
air filled centrifuge with a radius of circa 50 cm, the optimal rotational
frequency for realistic atmosphere-like waves, that encounter anelastic
amplification, is around 10000 rounds per minute. Using gases of lower heat
capacities at constant pressure, like Argon and Xenon, the rotational
frequencies can be even halved to obtain the same results. Similar to the
atmosphere, it is feasible in the gas centrifuge to generate a clear scale
separation of wave frequencies and therefore phase speeds between acoustic
waves and internal waves. In addition to the centrifugal force, the Coriolis
force acts in the same plane. However, its influence on the internal waves
appears only as a higher-order correction. We conclude that the gas centrifuge
provides an unprecedented opportunity to investigate atmospheric internal waves
experimentally with a compressible working fluid.
