Problem $1(5$ points$)$: Design a V$-$belt drive based on the below information. Specify the belt size, the sheave sizes, the number of belts, the actual output speed, and the center distance.

Driver Type: AC motor $($HT$)$

Driven machine: Hammer mill

Service $($h$/$day$)$: $8$

Input speed $($rpm$)$: $870$

Input power: $25hp,18\mathrm{.}6kW$

Nominal output speed $($rpm$)$: $310$

Please Answer all parts of the question do not leave any parts unanswered