An assembly is provided for rotational equipment. This assembly includes a first rotatable body and an injector. The first rotatable body extends axially along and circumferentially about a rotational axis. The first rotatable body includes a first scoop with a first scoop aperture that extends obliquely through the first rotatable body. The injector includes a first nozzle orifice and a second nozzle orifice. The injector is configured to direct a first fluid jet from the first nozzle orifice into an inlet of the first scoop aperture. The injector is further configured to direct a second fluid jet from the second nozzle orifice into the inlet of the first scoop aperture.