Question

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.

Answer 1

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)**.