A Giant Floodlight Placed On A Space Station Above The Earth Is Spinning At 100

A giant floodlight placed on a space station above the Earth is spinning at 100 Hz, so that the light beam sweeps around in a circle. As the beam sweeps across the Moon, with what speed does the spot of light move across the Moon’s surface? Express your answer as a fraction of c. Is this answer disturbing? Why or why not? 
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