Two travelling waves produces a standing wave represented by equation.
\( y = 1.0 \, \text{mm} \cos\!\big(1.57 \, \text{cm}^{-1} \big)\,x \sin\!\big(78.5 \, \text{s}^{-1} t\big) \). The node closest to the origin in the region \( x > 0 \) will be at \( x = \) ________ \( \text{cm} \).