Concept explainers
The equation of a transverse wave traveling alone a string is
y = 0.15 sin(0.79x − 13t),
in which x and y are in meters and t is in seconds. (a) What is the displacement y at x = 2.3 m, t = 0.16 s? A second wave is to be added to the first wave to produce standing waves on the siring. If the second wave is of the form y(x, t) = ym sin(kx ± ωt), what are (b) ym, (c) k, (d) ω, and (e) the correct choice of sign in front of ω for this second wave? (f) What the displacement of the resultant standing wave at x = 2.3 m, t = 0.16 s?
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