3. Summary and Next Steps

Try these first

1. 1.

   What is the definition of wave celerity?

   Hint

   Think about how fast the wave moves.

2. 2.

   Name one governing equation used in wave mechanics.

   Hint

   This equation is foundational in fluid dynamics.

3. 3.

   What is the formula for wave celerity?

   • C = L/T
   • C = T/L
   • C = L + T

   Hint

   Consider the ratio of wavelength to the period.

4. 4.

   True or False: The dispersion relationship states that wave speed does not depend on water depth.

   • True
   • False

   Hint

   Think about how waves behave differently in shallow versus deep water.

5. 5.

   A wave with a wavelength of 25 m travels at a speed of 5 m/s. Determine the wave's period and its angular frequency.

   Hint

   Use the definitions and formulas we've discussed.

6. 6.

   Given a depth of 10 m, derive the dispersion relationship for a wave with a wavelength of 15 m. What is the expected wave speed?

   Hint

   Break it into steps using the relationships defined.