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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.


Sagot :

Answer:

The frequency is 0.25Hz and the period is 4s

Explanation:

To solve this we can use the formula: [tex]f = \frac{v}{\lambda}[/tex], 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:

[tex]f=\frac{6.5}{26} \\f= 0.25Hz[/tex]

Period is the inverse of frequency: [tex]T=\frac{1}{f}[/tex]

Therefore the period is: [tex]T = \frac{1}{0.25} \\T = 4s[/tex]

Hope this helped!