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.

1 answer

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 \( 600 , \text{m/s} \).