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In 1926, Albert Michelson measured the speed of light with a technique similar to that used by Fizeau. Michelson used an eight-sided mirror rotating at 528 rev/s in place of the toothed wheel, as illustrated in the figure . The distance from the rotating mirror to a distant reflector was 35.5 km The light completed the 71.0 km round trip in the time it took the mirror to complete one-eighth of a revolution.
Suppose the distance to the fixed mirror in the figure is decreased to 21.5 km

Find the required angular speed, assuming the speed of light is 3.00 *10^8 m/s.

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