Question

8) (8 points) Waves: A hurricane generates waves at Bermuda 800 km south-east of Rhode Island. Two sets of waves are generated with the periods of 8 seconds and 12 seconds. Assume the ocean has an average depth of 3000m. a) How long does it take for the 8 second waves and the 12 second waves to arrive in Rhode Island, respectively? b) What are their wavelengths? Wavenumbers? c) What would be your answers to part a and b if we assume the ocean is 20m deep instead of 3000m? 10 Potential Temperature (deg C] 35 35.5 36 34.5 Salinity (psu) Figure 1
this material is asked in relation to topics of general oceanography. Please frame help in the context of general oceanography and not another earth science

Answer 1

According to the question,

frequency = 1

Velocity = 6000/8 metere per second and 6000/12 meter/ second

Wavelength of first wave =velocity / frequency = (6000/8)/1 = 750m

Wavelength of first wave =velocity / frequency = (6000/12)/1 = 500m

Now first wavelength 750 m that is 0.75km goes in 1 second

therefore, it goes 800/0.75 = 1066.67 second = 17.77 minutes

Now second wavelength 500 m that is 0.5km goes in 1 second

therefore, it goes 800/0.5 = 1600 second = 26.67 minutes