A polyamide A$-3$ flat belt $150$mm wide is used to transmit $12\mathrm{.}5$ kW under light

shock conditions where Ks $=1\mathrm{.}25,$ and a factor of safety equal to or greater than

$1\mathrm{.}1$ is appropriate. The pulley rotational axes are parallel and in the horizontal plane. The shafts are $2\mathrm{.}6$m apart. The $160-$mm driving pulley rotates at $1700$pm in such a way that the loose side is on top. The driven pulley is $460$mm in diameter. The factor of safety is for unquantifiable exigencies.

$($a$)$ Calculate the length of the belt L$.$

$($b$)$ Estimate the centrifugal tension Fc and the torque T$.$

$($C$)$ Estimate the allowable F$1,$ F$2,$ Fi and allowable power Ha$.$