Water being diverted during a flood in Helsinki Finland lati

Water being diverted during a flood in Helsinki, Finland (latitude 60°N) flows along a diversion channel of width 47 m in the south direction at a speed of 3.4 m/s. On which side is the water the highest (from the standpoint of noninertial systems) and by how much?

Solution

That angle of the water surface is tan alpha = 2 w v cos theta / g

= (2 * 2 pi * 3.4 * cos 60) / (9.8) * (24 * 60)

= 4.36 * 10^-5 rad

The difference in height of the water on the two sides is

= w * tan alpha = 47 * 4.36 * 10^-5

= 2.05 mm