The wave function for a traveling wave on a taut string is (in SI units) y ( x ,

Question

The wave function for a traveling wave on a taut string is (in SI units)

y(x,t) = 0.380 sin

11t 1x +

(a) What are the speed and direction of travel of the wave?

(b) What is the vertical position of an element of the string at t = 0, x = 0.160 m?
  
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m

(c) What is the wavelength of the wave?
  
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m

(d) What is the frequency of the wave?
Hz

(e) What is the maximum transverse speed of an element of the string?
m/s

Explanation / Answer

y(x,t) = 0.380 sin(11t 1x+4)
y(x,t) = A sin(2f *t 2x/l + phase)

2f = 11 ; f = 5.5 Hz ----- Answer for (d)
2/l = 1 ; l = 2 m----- Answer for (c)

v wave = l*f = 2*5.5 = 11 m/s ----- Answer for (a)
its move to positive x direction

b) y(0,160,0) = 0.380 sin(11(0) 1(0.160) +4) = 0.380 sin(12.05760) = 0.0793 m

e)maximum transverse speed = A = A 2f = 0.380 * 11 = 13.132 m/s

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