1.6. Celerity Calculation

Try these first

1. 1.

   Define wave celerity.

   Hint

   Think about the relationship between wavelength and period.

2. 2.

   What is the Laplace equation used for?

   Hint

   It helps in solving problems related to fluid motion.

3. 3.

   What does the term 'celerity' refer to in wave mechanics?

   • Speed of sound
   • Speed of wave
   • Speed of water flow

   Hint

   Consider the relationship between wave properties.

4. 4.

   True or False: The wave speed increases in shallower water.

   • True
   • False

   Hint

   Think about how depth is related to speed.

5. 5.

   A wave has a wavelength of 15 m and a frequency of 0.5 Hz. Calculate its wave speed and explain how the depth influences this speed.

   Hint

   Convert frequency to period and use the celerity formula.

6. 6.

   Derive the expression for wave speed as a function of water depth using the dispersion relationship.

   Hint

   Write down the definitions for each variable involved.