A transverse periodic wave is established on a string. The wave is described by the expression \...
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0A transverse periodic wave is established on a string. The wave is described by the expression
\[
y=0.005 \sin (20.0 x-2 \pi f t)
\]
where \( y \) is in meters when \( x \) and \( t \) are in meters and seconds, respectively. If the wave travels with a speed of \( 20.0 \mathrm{~m} / \mathrm{s} \), what is its frequency, \( f \) ?
(A) \( 0.16 \mathrm{~Hz} \)
(B) \( 0.64 \mathrm{~Hz} \)
(C) \( 31.9 \mathrm{~Hz} \)
(D) \( 63.7 \mathrm{~Hz} \)
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