IP In 1926, Albert Michelson measured the speed of light with a technique simila

Question

IP 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(Figure 1). 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 23.0 km. Should the angular speed of the rotating mirror be increased or decreased to ensure that the experiment works? increased decreased Find the required angular speed, assuming the speed of light is 3.00 times 10^8 m/s.

Explanation / Answer

The time in which light is traveling (23+23=46km), in the same time the rotating mirror should complete one-eighth of a revolution.

So (46000/300000000) =(2/8)/(w*2)   

Here w is being considered in rev/s.

So 8w = 300000/46

w= 815.22 rev/s

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