Question

Several merchant ships reports rogue waves

which are estimated to be 25 meters high and 26 meters long. Assuming that these waves travel at
speeds of 6.5 m/s, determine the frequency and the period of these waves.

Answer 1

The frequency is 0.25Hz and the period is 4s

Step-by-step explanation:

To solve this we can use the formula:
`f = (v)/(\lambda)`, where f=frequency, v=velocity and lambda = wavelength.

In the question, we are given the information that the velocity of the wave is 6.5m/s and the wavelength is 26 meters long. By putting these values into the formula, we can find the frequency:

`f=(6.5)/(26) \\f= 0.25Hz`

Period is the inverse of frequency:
`T=(1)/(f)`

Therefore the period is:
`T = (1)/(0.25) \\T = 4s`

Hope this helped!