The displacement of a travelling wave is y=C sin (2π)/λ(at-x), where t is time, x is distance and λ is the wavelength, all in S.I. units. Then the frequency of the wave is

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(4) a/λ. Given: y=C sin (2π)/λ(at-x). Idea: expand the bracket and compare with the standard form y=A sin(ω t-kx). y=C sin ((2π a)/λt-(2π)/λx). Matching the time term: ω=(2π a)/λ. ω=2π f, so f=ω/(2π). f=a/λ. (Checks out: a is the wave speed, and v=fλ.)

The displacement of a travelling wave is y=C sin (2π)/λ(at-x), where t is time, x is distance and λ is the wavelength, all in S.I. units. Then the frequency of the wave is

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