Page 383, speed of water: 1060 inch/s, = 27m/s
beta = v/c : 1*10^-7
needed acuracy: 3*10^-9
Page 382: the light from an electric lamp.
For stroboscopic measuring of relative phase, with accuracy of 3*10^-9, we need monochromatic light, with relative width < 3*10^-9. Electric lamp is no mnochromatic source.
Real accuracy is about 0.1. It means 300 milion times worse.
About summing air speed with light light, to make this experiment carefully is very difficult. Be honest is not profitable.