A buoy bobs up and down in the ocean. The waves have a wavelength of 2.5 m, and they

Question

pass the buoy at a speed of 4.0 m/s. What is the frequency of the waves?

Answer 1

To find the frequency of the waves, you can use the formula that relates wave speed, wavelength, and frequency:

\[ v = f \lambda \]

where:

• \(v\) is the wave speed (4.0 m/s),
• \(f\) is the frequency in Hz (which we want to find),
• \(\lambda\) is the wavelength (2.5 m).

Rearranging the formula to solve for frequency gives us:

\[ f = \frac{v}{\lambda} \]

Substituting in the values:

\[ f = \frac{4.0 , \text{m/s}}{2.5 , \text{m}} = 1.6 , \text{Hz} \]

Therefore, the frequency of the waves is 1.6 Hz.