_{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?}