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A sinusoidal transverse wave traveling in the positive direction of an $x$ axis has an amplitude of $2.0 \mathrm{cm},$ a wavelength of $10 \mathrm{cm},$ and a freq...

Question

A sinusoidal transverse wave traveling in the positive direction of an $x$ axis has an amplitude of $2.0 \mathrm{cm},$ a wavelength of $10 \mathrm{cm},$ and a frequency of 400 $\mathrm{Hz}$ . If the wave equation is of the form $y(x, t)=y_{m} \sin (k x \pm \omega t),$ what are (a) $y_{m},$ (b) $k,$ (c) $\omega,$ and (d) the correct choice of sign in front of $\omega ?$ What are (e) the maximum transverse speed of a point on the cord and (f) the speed of the wave?

A sinusoidal transverse wave traveling in the positive direction of an $x$ axis has an amplitude of $2.0 \mathrm{cm},$ a wavelength of $10 \mathrm{cm},$ and a frequency of 400 $\mathrm{Hz}$ . If the wave equation is of the form $y(x, t)=y_{m} \sin (k x \pm \omega t),$ what are (a) $y_{m},$ (b) $k,$ (c) $\omega,$ and (d) the correct choice of sign in front of $\omega ?$ What are (e) the maximum transverse speed of a point on the cord and (f) the speed of the wave?



Answers

A sinusoidal transverse wave traveling in the positive direction of an $x$ axis has an amplitude of $2.0 \mathrm{cm},$ a wavelength of
$10 \mathrm{cm},$ and a frequency of 400 $\mathrm{Hz}$ . If the wave equation is of the form $y(x, t)=y_{m} \sin (k x \pm \omega t),$ what are (a) $y_{m},$ (b) $k,$ (c) $\omega,$ and
(d) the correct choice of sign in front of $\omega ?$ What are (e) the maximum transverse speed of a point on the cord and (f) the speed of
the wave?


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