Question

If a wave has amplitude of 2 meters, a wavelength of 5 meters, and a frequency of 60 Hz, at what speed is it moving?

Answer 1

Answer: The velocity is 300 meters per second.

Explanation: The velocity of a wave is related to the frequency and the wavelenght by the following equation:

velocity = frequency*wavelenght

or, using the formal notation;

v = f*λ

We know that f = 60Hz (and Hz is 1/s) and λ = 5m, so we have:

v = 5m*60(1/s) = 300m/s

Answer 2

The relationship between speed of a wave w, frequency f and wavelength
`\lambda` is

`v = \lambda f`
For the wave of our problem,
`\lambda = 5 m` and f=60 Hz, so its speed is

`v=(5 m)(60 Hz)=300 m/s`