Question

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?

Answer 1

v = 4 m / s

Step-by-step 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 =
`(3)/(2)` 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 =
`(2)/(3)` 12 0.5

v = 4 m / s