A $2$ diameter pulley will be calculated, which will rotate at $1700$ rpm and deliver $1\mathrm{.}9$ hp with another larger pulley to have an angular velocity ratio of $0\mathrm{.}5.$ The distance between centers must be $9.$ An appropriate service factor in this case is considered to be $1\mathrm{.}2.$

a$)$Propose a flat belt in such a way that the maximum tension does not exceed the design tension $($that is$,$ what the manufacturer indicates as maximum$).$ Write down here all the data that characterizes the band. $($Thickness$,$ width and length$)$

b$)$Calculate the initial tension and indicate if the band can be assembled manually or will require some device.

Perform the necessary calculations and specify the design tables used.