A $25$ hp$,700$ rpm squirrel cage induction motor is to drive a two$-$cylinder reciprocating pump outdoors under a shed.

a$)$ State the service factor and a design factor for this application. Fully justify your choice $($using the Shigley design procedure tables and situation data$)$:

b$)$ If the pump speed is $140$ rpm$,$ indicate a pair of sprockets that can be used in this case.

What are the $($complete$)$ data of the chain that satisfies the situation analyzed? $($Lp$,$ L$,$ ANSI no$.$ and choice factors$).$