Waves moving on a lake have a speed of 3 m/s and a distance of 1.75 m between adjacent crests. a. What is the frequency of the waves? b. What is the period of the waves?

Respuesta :

Given:

The speed of the wave is,

[tex]v=3\text{ m/s}[/tex]

The distance between adjacent crests is,

[tex]1.75\text{ m}[/tex]

To find:

a) What is the frequency of the waves?

b) What is the period of the waves?

Explanation:

a) The horizontal distance between two adjacent crests or troughs is known as the wavelength.

The wavelength is,

[tex]\lambda=1.75\text{ m}[/tex]

The frequency is,

[tex]\begin{gathered} f=\frac{v}{\lambda} \\ =\frac{3}{1.75} \\ =1.71\text{ Hz} \end{gathered}[/tex]

Hence, the frequency is 1.71 Hz.

b)

The period of waves is,

[tex]\begin{gathered} T=\frac{1}{f} \\ =\frac{1}{1.71} \\ =0.58\text{ s} \end{gathered}[/tex]

Hence, the period of waves is 0.58 s.