6. What is the speed of a wave if it has a wavelength of 14 m and a frequency of 10 hertz?

show all of your work for full credit.

1 answer

To find the speed of a wave, we can use the formula:

\[ v = f \times \lambda \]

where:

  • \( v \) is the speed of the wave (in meters per second, m/s),
  • \( f \) is the frequency of the wave (in hertz, Hz),
  • \( \lambda \) is the wavelength (in meters, m).

Given:

  • Wavelength (\( \lambda \)) = 14 m
  • Frequency (\( f \)) = 10 Hz

Now we can substitute the values into the formula:

\[ v = 10 , \text{Hz} \times 14 , \text{m} \]

Now, perform the multiplication:

\[ v = 140 , \text{m/s} \]

Thus, the speed of the wave is 140 meters per second (m/s).