Given
3 wave crests pass a given point every 10.0 sec.
Wavelength is
[tex]\lambda=2.0\text{ m}[/tex]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?
Explanation
1. The period of the wave is
[tex]T=10\text{ /3=3.3 sec}[/tex]2. The frequency of the wave is
[tex]f=\frac{1}{T}=\frac{1}{3.3}=0.3\text{ Hz}[/tex]3. The speed of the wave is
[tex]\begin{gathered} v=f\lambda \\ \Rightarrow v=0.3\times2=0.6\text{ m/s} \end{gathered}[/tex]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