Displacement of a Wave

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Homework Statement



The displacement of a wave traveling in the positive x-direction is [tex]D(x,t) = (3.5cm)sin(2.7x - 124t)[/tex], where x is in m and t is in s.

What are the frequency, wavelength, and speed?

Homework Equations





The Attempt at a Solution



Not sure where to start. Can someone point me in the right direction?
 

Answers and Replies

  • #3
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so what you're saying is that [tex]D(x,t) = (3.5cm)sin(2.7x - 124t) =Asin(kx - \omega t)[/tex]

If that's true than A = 3.5cm = 0.035m. k = 2.7 and [tex]\omega = 124[/tex]

and I know that
[tex]v = \frac{\omega}{k} = \frac{124}{2.7} = 46m/s[/tex]

and

[tex] \lambda = \frac{2 \pi}{k} = \frac{2 \pi}{2.7} = 2.33m[/tex]

[tex]v= f \lambda \Rightarrow f = \frac{v}{\lambda} = \frac{46}{2.33} = 14.7Hz[/tex]
 
Last edited:
  • #4
Kurdt
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Yes from a glance that looks ok.
 
  • #5
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Check your calculation of frequency.
 
  • #6
Kurdt
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Check your calculation of frequency.

Ahh yes, but I presume that was just a typo on the posters part.
 
  • #7
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Check your calculation of frequency.

Thanks, it should be 19.7Hz.
 

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