We report an incipient exploration of the Lense-Thirring precession effect in
a rotating spacetime. An exact formula is
deduced for the precession frequency of a gyroscope due to inertial frame
dragging, close to the ergosphere of a Draining Bathtub' acoustic spacetime which has been studied extensively for acoustic Hawking radiation of phonons and also for superresonance’. The formula is verified by embedding the two
dimensional spatial (acoustic) geometry into a three dimensional one where the
similarity with standard Lense-Thirring precession results within a strong
gravity framework is well known. Prospects of experimental detection of this
new `fixed-metric’ effect in acoustic geometries, are briefly discussed.

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