The wave function for a traveling wave on a taut string is (in SIunits) the foll
ID: 1748645 • Letter: T
Question
The wave function for a traveling wave on a taut string is (in SIunits) the following equation. y(x, t) = (0.37 m)sin(14t - 1x + /4) (a) What are the speed and direction of travelof the wave?m/s
(b) What is the vertical position of an element of the string att = 0, x = 0.140 m?
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 thestring? m/s y(x, t) = (0.37 m)sin(14t - 1x + /4) (a) What are the speed and direction of travelof the wave?
m/s
(b) What is the vertical position of an element of the string att = 0, x = 0.140 m?
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 thestring? m/s
Explanation / Answer
y(x, t) = (0.37m)sin(14t -1x +/4) This is in the form as y=Asin(t-kx+) a. velocity v=dy/dt=0.37*14*-cos(14t - 1x +/4)m/s b. y=(0.37 m)sin(*0.14 +/4) c. k=2/ =/2 =1/2m d. =14 2f=14 f=7Hz e. The maxm v we will get by cos(14t -1x +/4)=1 v=0.37*14m/s Hence we get by it.Related Questions
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