To find the frequency of a wave when given its speed and wavelength, we use the fundamental relationship between these quantities:
[tex]\[ \text{Frequency} = \frac{\text{Speed}}{\text{Wavelength}} \][/tex]
Here are the steps to calculate the frequency:
1. Identify the given values:
- Speed ([tex]\(v\)[/tex]) = 6 m/s
- Wavelength ([tex]\(\lambda\)[/tex]) = 12 meters
2. Use the formula for frequency:
[tex]\[ f = \frac{v}{\lambda} \][/tex]
3. Substitute the given values into the formula:
[tex]\[ f = \frac{6 \, \text{m/s}}{12 \, \text{m}} \][/tex]
4. Perform the division:
[tex]\[ f = 0.5 \, \text{Hz} \][/tex]
So, the frequency of the wave is 0.5 Hz.
