$!$

Required information

A solid $1040$ hot$-$rolled steel shaft $42\mathrm{.}50$ in long has a rectangular cross section of $2\mathrm{.}5in3\mathrm{.}6in.$ The shaft transmits a

torque of $30\mathrm{.}00$ kip $-$in at an angular velocity of $490$ rpm $.$

Determine the total angle of twist of the shaft.

The total angle of twist of the shaft is

$.($Round the final answer to three decimal places.$)$