Question

A swimmer at the beach notices that three wave crests pass a certain point every 10.0 seconds. She also notes that each wave crest is about 2.0 meters apart.1) What is the period of the wave that the swimmer is observing?2) What is the frequency of the wave that the swimmer is observing?3) What is the speed of the waves that the swimmer is observing?

Answer 1

Given

3 wave crests pass a given point every 10.0 sec.

Wavelength is

`\lambda=2.0\text{ m}`

To find

1) What is the period of the wave that the swimmer is observing?

2) What is the frequency of the wave that the swimmer is observing?

3) What is the speed of the waves that the swimmer is observing?

Step-by-step explanation

1. The period of the wave is

`T=10\text{ /3=3.3 sec}`

2. The frequency of the wave is

`f=(1)/(T)=(1)/(3.3)=0.3\text{ Hz}`

3. The speed of the wave is

`\begin{gathered} v=f\lambda \\ \Rightarrow v=0.3*2=0.6\text{ m/s} \end{gathered}`

Conclusion

1. The period is 3 .3 sec

2. The frequency is 0.3 Hz

3.The speed of the wave is 0.6 m/s