Two gears are connected with teeth that prevent the gears from slipping against each other, but

are of negligible size compared to the gear diameters. The larger gear has a radius of 27.0cm.$27\mathrm{.}0cm.$ The

smaller gear has a radius of 2.0cm$2\mathrm{.}0cm$ and accelerates at a rate 7.2rads2.$7\mathrm{.}2ra\frac{d}{s2}.$

What is the angular acceleration of the larger gear in rads2?$ra\frac{d}{s2}?$

Starting from rest, how long will it take the larger gear to spin up to 65rpm?$65rpm?$

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