P17_018 - 18. (a) The general expression for y (x, t) for...

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18. (a) The general expression for y ( x, t )forthewaveis y ( x, t )= y m sin( kx ωt ), which, at x =10cm , becomes y ( x =10cm ,t )= y m sin[ k (10 cm ωt )]. Comparing this with the expression given, we Fnd ω =4 . 0rad / s, or f = ω/ 2 π =0 . 64 Hz . (b) Since k (10 cm) = 1 . 0, the wave number is k =0 . 10 / cm. Consequently, the wavelength is λ = 2 π/k =63cm . (c) Substituting the values of k and
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