Question $4($CSLO$)$

A simplified gear system for a mechanical watch is shown. Knowing that gear $4$ has a constant angular velocity ${}_A=\frac{2}{60}ra\frac{d}{s}$ and gear $C$ has a constant angular velocity, ${}_C=\frac{2}{3600}ra\frac{d}{s},$ determine $(a)$ the radius $r,(b)$ the magnitudes of the accelerations of the points on gear $B$ that are in contact with gears A and $C.$

$1=0\mathrm{.}6in$

$12=0\mathrm{.}36$

$wc=\frac{2}{60}$

$t_A=($