A $43\mathrm{.}3kg$ turntable with a radius of $14cm$ is covered with a uniform layer of dry ice that has a mass of $2\mathrm{.}50kg.$ The angular speed of the turntable and dry ice is initially $0\mathrm{.}30ra\frac{d}{s},$ but it increases as the dry ice evaporates.

What is the angular speed of the turntable once all the dry ice has evaporated?

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