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Measurements of the Speed of Light

Rotating Mirror Method by Foucault

Fig.: .

Path length difference

$$\mathrm{\Delta }s=2(f+b)$$

$$\mathrm{\Delta }\alpha =2\pi \nu \mathrm{\Delta }t$$

$$\mathrm{\Delta }x=2\mathrm{\Delta }\alpha a$$

$$\mathrm{\Delta }\alpha =\frac{\mathrm{\Delta }x}{2a}$$

$$\frac{\mathrm{\Delta }x}{2a}=2\pi \nu \mathrm{\Delta }t$$

$$\mathrm{\Delta }t=\frac{\mathrm{\Delta }x}{2a}$$

$$c=\frac{\mathrm{\Delta }s}{\mathrm{\Delta }t}=\frac{8\pi (f+b)a}{\mathrm{\Delta }x}$$

Phase Method

Fig.: .

Path length difference

$$\mathrm{\Delta }s=s_2-s_1$$