A sinusoidal wave on a string travels to the right. The wave has the following characteristics: wavelength $=2\mathrm{.}40$ m$,$ amplitude $=0\mathrm{.}100$ m$,$ and speed $=1\mathrm{.}25$ m$/$s$.$ Assume that at

t $=0,$

the left end of the string is at the origin and its transverse velocity is negative.

$($a$)$

Find the frequency $($in Hz$)$ for this wave.

Hz

$($b$)$

Find the angular frequency $($in rad$/$s$)$ for this wave.

rad$/$s

$($c$)$

Find the angular wave number $($in rad$/$m$)$ for this wave.

rad$/$m

$($d$)$

Find the wave function for this wave in SI units. $($Use the following as necessary: x and t$.$ Assume x and y are in meters and t is in seconds. Do not include units in your answer.$)$

y $=$

$($e$)$

Determine the equation of motion in SI units for the left end of the string. $($Use the following as necessary: t$.$ Assume y is in meters and t is in seconds. Do not include units in your answer.$)$

y $=$

$($f$)$

Determine the equation of motion in SI units for the point on the string at x $=1\mathrm{.}35$ m to the right of the left end. $($Use the following as necessary: t$.$ Assume y is in meters and t is in seconds. Do not include units in your answer.$)$

y $=$

$($g$)$

What is the maximum speed $($in m$/$s$)$ of any element of the string?

m$/$s