Transverse wave problem. It's a doozy

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SUMMARY

The transverse wave described by the equation y(x,t)=(2 m) sin[(174.5 s-1)t - (22.44 m-1) x] has a frequency of 174.5 s-1, which is the angular frequency. The wave's period can be calculated using the formula T = 1/f, resulting in a period of approximately 0.00573 seconds. The wavelength is determined from the wave number, yielding a wavelength of 0.28 meters. The wave speed is calculated using the relationship v = wavelength * frequency, resulting in a speed of 48.1 m/s.

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  • Familiarity with wave speed, wavelength, and period calculations
  • Basic algebra for manipulating equations
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Mr. Sinister
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Transverse wave problem... It's a doozy!

Homework Statement


A certain transverse wave is described by the equation,
y(x,t)=(2 m) sin[(174.5 s -1)t - (22.44 m-1) x]. What is the frequency,wave's period, wavelength, and wave speed?

Homework Equations



v=wavelength * f= wavelength/T

The Attempt at a Solution



I believe that 174.5 is the frequency. That is all that I know that could be correct. Could somebody please throw some more equations my way and possibly give me some hints. Thanks.
 
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174.5 is more likely to be an angular frequency... you should be able to relate that to regular frequency and period quite easily. your relevant equations should take care of the rest
 

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