Physics - Wave on String Question with Solution | TestHub

The equation of the wave is 

$Y={10}^{-2}\sin 2\pi (160t-0.5x+\frac{\pi }{4})$

The velocity of a wave is given by $v=\frac{\omega }{k} ...\left(i\right)$.

A wave equation is given by 

$Y=A\sin \left(\omega t-kx+\varphi \right)$

Using equation (i),

$v=\left(\frac{2\pi \times 160}{2\pi \times 0.5}\right)=320 \mathrm{m} {{\mathrm{s}}^{-1}}_{}$

$\Rightarrow v=320\times \frac{18}{5}$

$\Rightarrow v=1152 \mathrm{km} {\mathrm{h}}^{-1}$