Trasverse wave wavelenght and velocity problem

  • Thread starter mmoadi
  • Start date
1. The problem statement, all variables and given/known data

Along a long tense rope are traveling transverse waves with amplitude A= 10 cm. What is the wavelength, if at any given time the distance between two consecutive neighboring waves y= 5 cm is d= 6 cm? With what velocity are the waves spreading, if the maximum transverse speed of the rope is ω= 0.1m/s?

2. Relevant equations

v= fλ
k= 2π/ λ
y= A sin(k*x)

3. The attempt at a solution

For the wavelength:

k= 2π/ λ → λ= 2π/ k

Calculating k:

y= A(sin k)(sin x) → sin k= y/ A(sin x)
sin k= 5, which is wrong

Where is my mistake?


Homework Helper
I don't understand what you did, but the equation for a wave is y=Asin(wt). (Note that the w here is different from the w in the question.) Derive that with respect to t and you get dy/dt=Awcos(wt), so Aw is the rope's maximum transverse speed. From there you can get the frequency, which you can then multiply by the wavelength to get speed.

Want to reply to this thread?

"Trasverse wave wavelenght and velocity problem" You must log in or register to reply here.

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving

Top Threads