In an experiment similar to that done by Michelson,the frequency of rotation of the eight-sided mirror is 530 Hz. Calculate the speed of light in air if the distance from the rotating mirror to the stationary mirror is 35.0 km.
"Similar" is not his setup, and one can't possibly find a solution here without a diagram of the setup.
To calculate the speed of light in air, we can use the formula:
Speed of light = (2 * distance * frequency) / number of sides of the mirror
In this case, the distance from the rotating mirror to the stationary mirror is 35.0 km, and the frequency of rotation of the eight-sided mirror is 530 Hz. The number of sides of the mirror is 8.
Plugging in these values, we get:
Speed of light = (2 * 35.0 km * 530 Hz) / 8
To calculate the speed of light, we need to convert the distance from kilometers to meters, as the SI unit for distance is meters. There are 1000 meters in 1 kilometer, so 35.0 km is equal to 35.0 * 1000 = 35,000 meters.
Substituting this value into the equation, we get:
Speed of light = (2 * 35,000 m * 530 Hz) / 8
Now, we can calculate the speed of light:
Speed of light = (2 * 35,000 m * 530 Hz) / 8
= (70,000 * 530) / 8
= 36,050,000 m/s
Therefore, the speed of light in air is approximately 36,050,000 m/s.