Need help to solve a Physics problem about a wave function

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A standing-wave pattern is observed in a thin wire with a length of 3.00 m. The wave function is y = 0.00200 sin(πx) cos(100πt) where x and y are in meters and t in seconds. 

(a) How many loops does this patten exhibit? (b) What is the fundamental frequency of vibration of the wire?

Nov 24th, 2015

Thank you for the opportunity to help you with your question!

 distance between adjacent nodes=λ/2

No of loops n  on the given length 3m

2 × 3/2 =3 loops

b) It on the fits one-half of a wavelength in the entire length of the wire, thus it is 

λ = 2L = 6 m

Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 24th, 2015

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Nov 24th, 2015
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Nov 24th, 2015
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