A transverse sinusoidal wave is moving along a string in the positive direction of an \( x \) ax...

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A transverse sinusoidal wave is moving along a string in the positive direction of an \( x \) axis with a speed of \( 70 \mathrm{~m} / \mathrm{s} \). At \( t=0 \), the string particle at \( x=0 \) has a transverse displacement of \( 4.0 \mathrm{~cm} \) and is not moving. The maximum transverse speed of the string particle at \( x=0 \) is \( 16 \mathrm{~m} / \mathrm{s} \). (a) What is the frequency of the wave? (b) What is the wavelength of the wave? If \( y(x, t)=y_{m} \sin (k x \pm \omega t+\phi) \) is the form of the wave equation, what are (c) \( y_{m} \), (d) \( k \), (e) \( \omega \), (f) \( \phi \), and (g) the correct choice of sign in front of \( \omega \) ?
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