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**1. The problem statement, all variables and given/known data**

Wave problem

Given data :

f = 20 Hz

y0 = 0.005 m

t = 0.1 s

x = 0.4 m

1. The end portions of stretched string oscillates in the transverse direction with a frequency of 20 Hz and an amplitude of 0.005 m. Wave , which travels along the string, made in 0.1 second, 0.4 m long path.

The speed of each part of string written by the equation v = v0 cos (ωt - kx).

a) What are the constants v0, ω and k to?

b) What is the maximum acceleration of each part of string?

c) What is the distance between the parts of the string, which varies with the phase difference Δ φ = π / 2?

d) How much time does a part of string need to travel from one extreme point to another?

**2. Relevant equations**

y(x, t) =y0sin(ωt - kx)

v(x, t)= v0cos (ωt - kx)

c = ƒ λ

ω = 2πf

k = 2π/λ

**3. The attempt at a solution**

I tried to solve for a wave number but i don't know how to calculate wavelenght.

I don't really well know the diferrence between these three equasions for wave.

1. velocity = displacement / time

2. wave velocity = wavelenght / period

3. velocity (particle) = v0 cos (ωt - kx)

1. and 2. equation seem very similar but i don't know if they are really.