Answer
$k=0.1cm^{-1}$
Work Step by Step
Comparing the given equation $ y=(5.0cm)sin[1.0-(4.0s^{-1})t]$
to $y(x,t)=y_m sin(kx-\omega t)$, we obtain:
$kx=1$
$k=\frac{1}{x}$
Given that $x=10cm$, we find $k$ as;
$k=\frac{1}{10}=0.1cm^{-1}$
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