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

y $=0\mathrm{.}150$ sin $(0\mathrm{.}800$x $-50\mathrm{.}0$t$)$

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

$($a$)$ Find the maximum transverse acceleration of an element of this string.

$($b$)$ Determine the maximum transverse force on a $1\mathrm{.}00-$cm segment of the string.

$($c$)$ State how the force found in part $($b$)$ compares with the tension in the string.