A sinusoidal wave on a string is described by the wave function

$y=0\mathrm{.}14sin(0\mathrm{.}70x-39t)$

where $x$ and $y$ are in meters and $t$ is in seconds. The mass per unit length of this string is $12\mathrm{.}0\frac{g}{m}.$

$($a$)$ Determine the speed of the wave.

$\frac{m}{s}$

$($b$)$ Determine the wavelength.

$m$

$($c$)$ Determine the frequency.

$Hz$

$($d$)$ Determine the power transmitted by the wave.

W