In a Michelson-type experiment, the path shown by a beam of light when the eight-sided mirror is at rest is shown. The detector indicates a maximum signal. The distance between the eight sided mirror and the stationary mirror is 46.62 km. As the eight-sided mirror begins to rotate,  the beam no longer follows this path and the detector indicates a decreased signal.  Determine the frequency of rotation for which the detector will first indicate a maximum signal. (answer in Hz and round to the nearest whole number)

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