5. A standing wave in a clothesline has 4 nodes and 3 antinodes. The clothesline is 12 m long and is vibrating at 0.50 vibrations per second. What is the speed of the wave?

  v = 4 m / s

Explanation:

In this exercise we are asked to find the speed of the wave, which is described by the expression

          v = λ f

in this case the wave has 4 nodes and 3 antinodes, in a length of 12 m

for a standing wave it is satisfied that we have a full wavelength and a half of another

          L = λ + ½ λ

          L = λ

          λ = ⅔ L

Cambien indicates that it has a frequency of

          f = 0.5 Hz

we substitute

          v = ⅔ L f

let's calculate

          v = 12 0.5

          v = 4 m / s