A buoy bobs up and down in the ocean. The waves have a wavelength of 2.5 meters, and they pass the buoy at a speed of 4.0 meters/second. What is the frequency of the waves?

Question

Note: frequency (Hz) = wave speed (m/s) / wavelength (m)

(Formula in words: Frequency is equal to wave speed divided by wavelength.)

(1 point)
Responses

1.6 Hertz
1.6 Hertz

10 Hertz
10 Hertz

7.5 Hertz
7.5 Hertz

4 Hertz

Answer 1

To find the frequency of the waves, we can use the formula:

\[ \text{Frequency (Hz)} = \frac{\text{Wave Speed (m/s)}}{\text{Wavelength (m)}} \]

Given:

• Wave Speed = 4.0 meters/second
• Wavelength = 2.5 meters

Now, we can plug in the values:

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

So, the frequency of the waves is 1.6 Hertz.