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Wavelength, frequency, and speed of a Standing wave. 
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#1
May103, 08:18 AM

P: n/a

Hello,
Thank you all that helped me on the last problem. This other problem is also giving me a little problem. Two sunusoidal waves travel in oppoiste directions interefere to produce a standing wave with the wave function. y=(1.50 m) sin(.400x) cos(200t) where x is in meters and t is in seconds. Determine the wavelength, frequency, and speed of the interfering waves. Ok this is what I got... Wavelength is =(velocity/frequency) Frequnecy is = 1/time now the problem i ran into is this is a simple plug in and find result problem however from the standing wave funtion what numbers go where. I cant seem to find it. Any help will be greatly appreciated. Thank You Jenn 


#2
May103, 01:50 PM

P: 114

Standing waves are given by
Y = 2A*sin(kx)*sin(wt) if that helps? edit; k = n*pi/ L too, where L is the fundamental wavelength, you should have enough now. 


#3
May103, 02:35 PM

P: n/a

ok so the wavefrequency is L = n*pi/k however what does n stand for and k. That is the problem I am having i am not sure what certian letters mean. Thank you for the help though.



#4
May103, 03:20 PM

P: 114

Wavelength, frequency, and speed of a Standing wave.
Ok a better one sorry is wavelength = 2*pi / k.
You probably know f = 2*pi / w, and c = f* wavelength. Match that to the equation in my first reply and it should be straight forward. K is the 'wavenumber' by the way. Try looking up standing waves in a text book as well, it could help. 


#5
May303, 10:53 AM

P: n/a

Frequency's , since it's the same as the standing wave's:
F = 200 / 2pi = 31.83Hz. Wavelength's is, since the wavelength of the sinusoids is the same as the wavelength of the standing sin(0.4x) wave. That's 2pi / 0.4 = 15.71meters. Finally, the speed of the waves is just wavelength x frequency = 15.71m x 31.83/s = 500m/s. Does this look right and did i do it right? 


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