Question

Dr. Watkins sits at the beach and watches the waves come into shore. She times the waves and finds that it takes 9.4 seconds for the period of the wave. What is the frequency of the wave?

Answer 1

Given:

The period of the wave, T=9.4 s

To find:

The frequency of the wave.

Step-by-step explanation:

The period of a wave is equal to the inverse of the frequency of the wave. And the frequency is equal to the inverse of the period of the wave.

Thus the frequency of the waves that come into the shore is given by,

`f=(1)/(T)`

On substituting the known value of the period in the above equation,

`\begin{gathered} f=(1)/(9.4) \\ =0.11\text{ Hz} \end{gathered}`

Final answer:

The frequency of the wave is 0.11 Hz.