Question

Use the formula for waves below to find the speed or velocity of a wave if it has a frequency of 120 Hz and a wavelength of 5m. Show how you calculated your answer.

Answer 1

To find the speed (or velocity) of a wave, you can use the formula:

\[
v = f \cdot \lambda
\]

where:
- \( v \) = speed of the wave (in meters per second, m/s)
- \( f \) = frequency of the wave (in hertz, Hz)
- \( \lambda \) = wavelength of the wave (in meters, m)

Given that the frequency \( f \) is 120 Hz and the wavelength \( \lambda \) is 5 m, you can substitute these values into the formula:

\[
v = 120 \, \text{Hz} \cdot 5 \, \text{m}
\]

Now calculate the speed:

\[
v = 120 \cdot 5 = 600 \, \text{m/s}
\]

Therefore, the speed of the wave is \( 600 \, \text{m/s} \).