A circular solid shaft that is fixed at one end and free to rotate at the other is composed of two segments. The first segment has a length L$1=17$ in$.,$ a radius r$1=1\mathrm{.}0$ in$.,$ and a constant internal torque T$1=2\mathrm{.}3$ kip$-$in$.$ The second segment has a length L$2=27$ in$.,$ a radius r$2=0\mathrm{.}58$ in$.,$ and a constant internal torque T$2=1\mathrm{.}4$ kip$-$in$..$ what is the angle of twist at the free end of the shaft? express your answer in radians using $4$ digits after the decimal point. The Shear modulus is G$=13,242$ ksi.