Exercise 6.1: What is the maximum water particle velocity for a wave of length 200 m and an amplitude equal to 3 m in deep water? (Answ: 1.7 m/s)
Exercise 6.2: Granted that the fluid particles move in circles with constant speed (in deep water), give a direct and simple argument that the velocity has to be for particles at the surface.
Exercise 6.3: We shall prove later that the sum of two small amplitude waves also is a solution. I.e. if and are solutions, so are and . Derive the velocities and the particle trajectories for the standing wave
Exercise 6.4: What are the pressure variations at the bottom of the sea (h = 100m) for a wave with amplitude 1m if the wavelength is 10m, 100m and 1000m? Express the answer in fractions of the atmospheric pressure. Show that a simplified relation is valid as .