A $0\mathrm{.}003-$in thick beryllium$-$copper metal flat belt with $S_f=56\mathrm{.}67k$ is to transmit $5$ hp at $1,450re\frac{v}{m}in$ with a life goal of ${10}^6$ belt

passes between two shafts $23$ in apart whose centerlines are in a horizontal plane. The coefficient of friction between belt and pulley

is $0\mathrm{.}32.$ The conditions are such that a service factor of $1\mathrm{.}25$ and a design factor of $1\mathrm{.}1$ are appropriate. The driving shaft has a $4-$in

pulley and rotates at $3$ times the driven shaft. Specify the minimum belt width and the corresponding initial tension.

The minimum belt width is

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

The corresponding initial tension is

Ibf.

Please solve using tables from Shigleys textbook