As shown, a thin metal disk is rolling without slipping along a flat horizontal surface, its velocity in the $x$ direction is $v_1=29\mathrm{.}9f\frac{t}{s},$ and its angular velocity is ${}_1=23\mathrm{.}0ra\frac{d}{s}.$ The disk is $2\mathrm{.}60$ ft in diameter, has a thickness of $0\mathrm{.}60$ in $,$ and has a density of $12$ slug $\frac{?}{f{t}^3}.$ Positive angular velocity is in the counterclockwise direction.

Part D $-$ New angular velocity

The disk from Part C $,$ which had an angular velocity of ${}_2=12\mathrm{.}0$kra$\frac{d}{s},$ has undergone a change in angular momentum, $H_{IC}=-23\mathrm{.}7k$ slug $*f\frac{t^2}{s}.$ Calculate the new angular velocity of the disk.

Express your answer to three significant figures and include the appropriate units.

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