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

Question

The wave function for a traveling wave on a taut string is (in SI units) the following equation.

y(x, t) = (0.37m)sin(8?t-2?x+?/4)

(a) What are the speed and direction of travel of the wave?
m/sDirectionpositive x-directionpositive y-directionpositive z-directionnegative x-directionnegative y-directionnegative z-direction
(b) What is the vertical position of an element of the string att= 0,x=0.162m?
m
(c) What is the wavelength of the wave?
m
What is the frequency of the wave?
Hz
(d) What is the maximum magnitude of the transverse speed of the string?
m/s

Explanation / Answer

y=Asin(wt+kx+phi) 1. k +ve x direction speed of the wave = w/k 2. substitute x t in the equation 3. wavelength = 2*pi/k 4. frequency = w/(2*pi) 5. max velocity of particle = Aw

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