A mass $(m=1\mathrm{.}25kg)$ is attached to a spring $(k=88\frac{N}{m})$ and constrained to move in the $x-$direction. When in equilibrium, the mass

rests at the origin of the coordinate system. When displaced a small distance while in an environment without drag, the mass

oscillates in simple harmonic motion.

The mass is then subjected to a velocity dependent drag force of the form vec$(F)=-$bvec$(v).$ The differential equation for this motion,

developed with Newton's $2$nd Law, is:

$m\frac{d^2}{d{t}^2}x=-kx-b\frac{d}{dt}x$

When the mass is subjected to the velocity dependent drag force the amplitude of the oscillations of the mass descrease by half in a

time $t=0\mathrm{.}439s.$

$($The following questions will be marked correct only if your answer is within $1\%$ of the correct value.$)$

What is the angular frequency that the mass will oscillate with when subjected to the drag force?

$3^{-1}$