A swimmer in the ocean observes one day that the ocean surface waves are periodic and resemble a sine wave. The swimmer estimates that the vertical distance between the crest and the trough of each wave is approximately 0.25 m, and the distance between each crest is approximately 1.1 m. The swimmer counts that 13 waves pass every two minutes. Determine the simple harmonic wave function that would describes these waves.

The  simple harmonic wave function is  

Explanation:

Generally a sine wave is mathematically represented as

Here  A is the amplitude which is mathematically represented as

substituting  0.25 m for  Z  we have  that  

k  is the wave number which is mathematically represented as

substituting 1.1 m for (wavelength )  we have

=>      

w  is the angular frequency which is mathematically represented as    

Here  T is the period which is mathematically represented as

substituting  13 wave pass  for  n and   for t

So

So