Question
Calculate the frequency of a water wave that has a wavelength of 0.5 m and a speed of 4 m/s.
Answers
Answered by
GPT-4o mini
To find the frequency of a wave, you can use the relationship between speed (v), wavelength (λ), and frequency (f), which is given by the formula:
\[
v = f \times \lambda
\]
Where:
- \( v \) is the speed of the wave,
- \( f \) is the frequency,
- \( \lambda \) is the wavelength.
Rearranging the formula to solve for frequency, we have:
\[
f = \frac{v}{\lambda}
\]
Plugging in the given values:
- Speed \( v = 4 \, \text{m/s} \)
- Wavelength \( \lambda = 0.5 \, \text{m} \)
Calculating the frequency:
\[
f = \frac{4 \, \text{m/s}}{0.5 \, \text{m}} = 8 \, \text{Hz}
\]
Thus, the frequency of the water wave is **8 Hz**.
\[
v = f \times \lambda
\]
Where:
- \( v \) is the speed of the wave,
- \( f \) is the frequency,
- \( \lambda \) is the wavelength.
Rearranging the formula to solve for frequency, we have:
\[
f = \frac{v}{\lambda}
\]
Plugging in the given values:
- Speed \( v = 4 \, \text{m/s} \)
- Wavelength \( \lambda = 0.5 \, \text{m} \)
Calculating the frequency:
\[
f = \frac{4 \, \text{m/s}}{0.5 \, \text{m}} = 8 \, \text{Hz}
\]
Thus, the frequency of the water wave is **8 Hz**.