1.6. Particle Trajectories in Deep Water

Try these first

1. 1.

   What is the main difference in water particle trajectories between deep and shallow water?

   Hint

   Think about how depth influences movement.

2. 2.

   Define particle displacement.

   Hint

   What do particles do when waves pass?

3. 3.

   How do water particles behave in deep water?

   • A. In elliptical orbits
   • B. In circular orbits
   • C. Randomly

   Hint

   Consider what happens to their paths as depth increases.

4. 4.

   True or false: Water particles in shallow water move in circular trajectories.

   • True
   • False

   Hint

   Think about the conditions required for circular motion.

5. 5.

   Given a scenario where the depth is significantly above the wavelength, derive the circular motion expression and explain the significance of your findings.

   Hint

   Utilize the definitions of D and B to frame your derivation.

6. 6.

   Compare and contrast the mathematical representations of particle paths in shallow vs. deep water. What factors contribute to the differences?

   Hint

   Look at how depth alters the relationship between D and B.