To calculate the frequency of a water wave, we need to use the following formula:
\[ \text{frequency} = \frac{\text{speed}}{\text{wavelength}} \]
Given that the speed of the wave (\( v \)) is 4 meters per second (4 m/s) and the wavelength (\( \lambda \)) is 0.5 meters (0.5 m), we can plug these values into the formula:
\[ \text{frequency} = \frac{4 \text{ m/s}}{0.5 \text{ m}} \]
Now, we perform the division to solve for the frequency:
\[ \text{frequency} = \frac{4}{0.5} \]
\[ \text{frequency} = 8 \text{ Hz (hertz)} \]
Therefore, the frequency of the water wave is 8 Hz.
