The midpoint M of a guitar string is pulled a distance d $=2\mathrm{.}1$ mm from equilibrium and released. Point M is observed to undergo simple harmonic motion with a frequency f $=320$ Hz$.$

gracemd@southern.edu$4$T$78-$F$8-$AE$-40-$A$398-54777$

$-$ Part $($a$)$

Calculate the angular frequency of oscillation in radians per second.

$=2010\mathrm{.}2010.$Correct$!$

$-$ Part $($b$)$

Assume the displacement of point M from equilibrium as a function of time t after release is of the form x$($t$)=$ xmax cos$($t $+).$ What is xmax in meters?

xmax $=0\mathrm{.}0021000\mathrm{.}002100$Correct$!$

$$ Part $($c$)$

After the string is first released, how many seconds will elapse before it first reaches its equilibrium position?