A $12-$in$-$wide polyamide A$-2$ belt is used to connect a $4$ in diameter pulley to drive a larger

pulley with an angular velocity ratio of $0\mathrm{.}5.$ The center$-$to$-$center distance is $18$ ft$.$ The angular

speed of the small pulley is $1750re\frac{v}{m}in$ as a delivers $2$ hp $.$ The service is such that a factor of

Ks of $1\mathrm{.}25$ is appropriate.

a$)$ Find Fc $,$ Fi $,($ F $1)$a$,$ and F $2$ assuming operation at the maximum tension limit$.$

b$)$ Find Ha$,$ nfs$,$ and the belt length.

c$)$ Find the dip.