Answer
$T = 0.050~s$
Work Step by Step
$y(x,t) = 0.040~sin(5\pi x)~cos(40 \pi t)$
We can see that $\omega = 40 \pi$
We can find the period:
$T = \frac{2\pi}{\omega}$
$T = \frac{2\pi}{40 \pi}$
$T = 0.050~s$
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