Water falling on a wheel generates a force of $28$ $N$ tangent to the wheel. Referring to the figure, find $R_1$ and $R_2$ of the wheel if the wheel thickness (i.e. $R_2 - R_1$) is $20$ $cm$, its mass is $70$ $kg$ and it is being accelerated at $0.39$ $rad/s^2$.

A. $R_1 = 1$ $m, R_2 = 1.2$ $m$
B. $R_1 = 1.3$ $m, R_2 = 1.5$ $m$
C. $R_1 = 0.8$ $m, R_2 = 1$ $m$
D. $R_1 = 0.5$ $m, R_2 = 0.7$ $m$
E. $R_1 = 0.5$ $m, R_2 = 0.6$ $m$